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1

A. Saenz, Roberto, and Herbert W. Hethcote. "Competing species models with an infectious disease." Mathematical Biosciences and Engineering 3, no. 1 (2006): 219–35. http://dx.doi.org/10.3934/mbe.2006.3.219.

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2

Pereira, T. A., J. Menezes, and L. Losano. "Interface networks in models of competing species." International Journal of Modeling, Simulation, and Scientific Computing 09, no. 05 (2018): 1850046. http://dx.doi.org/10.1142/s1793962318500460.

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We study a subclass of the May–Leonard stochastic model with an arbitrary, even number of species, leading to the rise of two competing partnerships where individuals are indistinguishable. By carrying out a series of accurate numerical stochastic simulations, we show that alliances compete each other forming spatial domains bounded by interfaces of empty sites. We solve numerically the mean field equations associated with the stochastic model in one and two spatial dimensions. We demonstrate that the stationary interface profile presents topological properties which are related to the asympto
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3

Sumner, Suzanne. "Hopf bifurcation in pioneer-climax competing species models." Mathematical Biosciences 137, no. 1 (1996): 1–24. http://dx.doi.org/10.1016/s0025-5564(96)00065-x.

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4

Szabó, György. "Competing associations in six-species predator–prey models." Journal of Physics A: Mathematical and General 38, no. 30 (2005): 6689–702. http://dx.doi.org/10.1088/0305-4470/38/30/005.

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5

Xu, Benlong, and Zhenzhang Ni. "Permanence of Diffusive Models for Three Competing Species in Heterogeneous Environments." Abstract and Applied Analysis 2014 (2014): 1–10. http://dx.doi.org/10.1155/2014/376919.

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We address the question of the long-term coexistence of three competing species whose dynamics are governed by the partial differential equations. We obtain criteria for permanent coexistence in a Lotka-Volterra system modeling the interaction of three competing species in a bounded habitat whose exterior is lethal to each species. It is also proved that if the intercompeting strength is very weak, the system is always permanent, provided that each single one of the three species can survive in the absence of the two other species.
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6

Mwalusepo, Sizah, Henri E. Z. Tonnang, Estomih S. Massawe, Tino Johansson, and Bruno Pierre Le Ru. "Stability Analysis of Competing Insect Species for a Single Resource." Journal of Applied Mathematics 2014 (2014): 1–14. http://dx.doi.org/10.1155/2014/285350.

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The models explore the effects of resource and temperature on competition between insect species. A system of differential equations is proposed and analysed qualitatively using stability theory. A local study of the models is performed around axial, planar, and interior equilibrium points to successively estimate the effect of (i) one species interacting with a resource, (ii) two competing species for a single resource, and (iii) three competing species for a single resource. The local stability analysis of the equilibrium is discussed using Routh-Hurwitz criteria. Numerical simulation of the
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7

Lopez-Gomez, Julian, and Jose C. Sabina De Lis. "Coexistence States and Global Attractivity for Some Convective Diffusive Competing Species Models." Transactions of the American Mathematical Society 347, no. 10 (1995): 3797. http://dx.doi.org/10.2307/2155205.

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8

López-Gómez, Julián, and José C. Sabina de Lis. "Coexistence states and global attractivity for some convective diffusive competing species models." Transactions of the American Mathematical Society 347, no. 10 (1995): 3797–833. http://dx.doi.org/10.1090/s0002-9947-1995-1311910-8.

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9

Sumner, Suzanne. "STABLE PERIODIC BEHAVIOR IN PIONEER-CLIMAX COMPETING SPECIES MODELS WITH CONSTANT RATE FORCING." Natural Resource Modeling 11, no. 2 (1998): 155–71. http://dx.doi.org/10.1111/j.1939-7445.1998.tb00306.x.

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10

Dancer, E. N. "On the existence and uniqueness of positive solutions for competing species models with diffusion." Transactions of the American Mathematical Society 326, no. 2 (1991): 829–59. http://dx.doi.org/10.1090/s0002-9947-1991-1028757-9.

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11

López-López, Pascual, Alvaro Soutullo, Clara García-Ripollés, Vicente Urios, Luis Cadahía, and Miguel Ferrer. "Markov models of territory occupancy: implications for the management and conservation of competing species." Biodiversity and Conservation 18, no. 5 (2008): 1389–402. http://dx.doi.org/10.1007/s10531-008-9469-2.

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12

Chamoun, Georges. "Finite Volume Analysis of the Two Competing-species Chemotaxis Models with General Diffusive Functions." WSEAS TRANSACTIONS ON BIOLOGY AND BIOMEDICINE 22 (April 14, 2025): 232–47. https://doi.org/10.37394/23208.2025.22.24.

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This paper aims to see how different spatial and environmental factors affect the coexistence or the exclusion of two species, while chemotaxis draws them towards a higher concentration of nutrients. For that, we analyze a robust numerical scheme applied for competitive two-species chemotaxis models with heterogeneous and potentially discontinuous diffusive coefficients. This extension is essential because diffusion can lead to discontinuities when the conductivities of the medium’s components differ. In this work, we examine a generalized finite volume scheme on admissible meshes, where the l
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13

James Omaiye, Ojonubah. "Numerical Analysis of Ordinary Differential Equations of Ecological Competing Species Across Diverse Environments." African Journal of Mathematics and Statistics Studies 6, no. 1 (2023): 88–102. http://dx.doi.org/10.52589/ajmss_evssxtr7.

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In a geographical region, species have their range margins (i.e., the geographic boundaries where species can be found). Several species distribution models have shown that environmental factors (i.e., abiotic factors) and species interactions (i.e., biotic interactions) are responsible for shaping the distributions of species. Yet, most of the models often focus on one of these factors and ignore their joint effects. Consequently, predicting which species will exist and at what range margins is a challenge in ecology. Thus, in this paper, the combined influences of these ecological factors on
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14

Li, Yongfeng, Jingan Cui, and Xinyu Song. "Asymptotic behaviour of the non-autonomous competing two-species Lotka–Volterra models with impulsive effect." Journal of Biological Dynamics 3, no. 1 (2009): 58–72. http://dx.doi.org/10.1080/17513750802158661.

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15

Dubey, B., and J. Hussain. "Nonlinear models for the survival of two competing species dependent on resource in industrial environments." Nonlinear Analysis: Real World Applications 4, no. 1 (2003): 21–44. http://dx.doi.org/10.1016/s1468-1218(02)00011-1.

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16

Ellefsen, Erin, and Nancy Rodríguez. "Nonlocal Mechanistic Models in Ecology: Numerical Methods and Parameter Inferences." Applied Sciences 13, no. 19 (2023): 10598. http://dx.doi.org/10.3390/app131910598.

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Animals utilize their surroundings to make decisions on how to navigate and establish their territories. Some species gather information about competing groups by observing them from a distance, detecting scent markings, or relying on memories of encounters with rival populations. Gathering such information involves a nonlocal process, prompting the development of mechanistic models that incorporate nonlocal terms to explore species movement. These models, however, pose analytical and computational challenges. In this study, we focus on a multi-species advection–diffusion model that incorporat
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17

van Vuuren, Jan H., and John Norbury. "Conditions for permanence in well-known biological competition models." ANZIAM Journal 42, no. 2 (2000): 195–223. http://dx.doi.org/10.1017/s1446181100011871.

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AbstractReaction-diffusion systems are widely used to model the population densities of biological species competing for natural resources in their common habitat. It is often not too difficult to establish positive uniform upper bounds on solution components of such systems, but the task of establishing strictly positive uniform lower bounds (when they exist) can be quite troublesome. Two previously established criteria for the permanence (non-extinction and non-explosion) of solutions of general weakly-coupled competition-diffusion systems with diagonally convex reaction terms are used here
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18

Kashchenko, S. A., E. A. Marushkina, and A. O. Tolbey. "Complicated Oscillations in the Problem of the Competition of Species." Interdisciplinary Journal Nonlinear Phenomena in Complex System 28, no. 1 (2025): 1–6. https://doi.org/10.5281/zenodo.15081369.

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Some families of mathematical models of biological populations competing for common food are considered. Dynamic properties of these models are investigated on an assumption that one or several populations are strongly prolific, which means that the corresponding malthusian coefficients are rather large. On the basis of a special asymptotic method a problem of behavior of the initial system solutions can be reduced to a significantly simpler problem of dynamics of the finite-dimensional mappings. In particular, it has been shown that irregular relaxation vibrations are typical for the solution
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19

Heske, Edward J., Richard S. Ostfeld, and William Z. Lidicker Jr. "Does social behavior drive vole cycles? An evaluation of competing models as they pertain to California voles." Canadian Journal of Zoology 66, no. 5 (1988): 1153–59. http://dx.doi.org/10.1139/z88-168.

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The literature contains a number of verbal and mathematical models that assert that social behavior drives the multiannual density cycles characteristic of many vole species. Many of the assumptions about vole behavior on which the models are based remain unverified. In this paper we briefly review these models and their underlying assumptions. We then use natural history data on the social behavior of California voles (Microtus californicus) to critically examine the plausibility of these assumptions. We do not attempt to explain vole cycles, but only to evaluate models that rely strongly on
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20

López-Gómez, Julián. "On the structure of the permanence region for competing species models with general diffusivities and transport effects." Discrete & Continuous Dynamical Systems - A 2, no. 4 (1996): 525–42. http://dx.doi.org/10.3934/dcds.1996.2.525.

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21

Wisheu, Irene C., and Paul Keddy. "Three Competing Models for Predicting the Size of Species Pools: A Test Using Eastern North American Wetlands." Oikos 76, no. 2 (1996): 253. http://dx.doi.org/10.2307/3546197.

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22

Kunakh, Olga, and Darya Kovalenko. "Fitting Competing Models of the Population Abundance Distribution: Land Snails from Nikopol Manganese Ore Basin Technosols." Ekológia (Bratislava) 38, no. 4 (2019): 367–81. http://dx.doi.org/10.2478/eko-2019-0027.

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AbstractThis paper examines the temporal dynamics of terrestrial mollusks of the Nikopol manganese ore basin technosols. The research was carried out at the Research Centre of the Dnipro Agrarian and Economic University in Pokrov (Ukraine). Sampling was carried out in 2012–2014 on four variants of artificial soil: formed on red-brown clays, on loess-like loams, on gray-green clays, and on humus-rich layer. The distribution of the number of individuals in a mollusk population was described by broken stick, Motomura, log-normal, Zipf, and Zipf-Mandelbrot models. It was shown that the series of m
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23

Biging, Gregory S., and Samantha J. Gill. "Stochastic Models for Conifer Tree Crown Profiles." Forest Science 43, no. 1 (1997): 25–34. http://dx.doi.org/10.1093/forestscience/43.1.25.

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Abstract We perform a feasibility study of using stochastic models to describe the profile of tree crowns and to capture the stochastic nature of the tree crown form for five conifer species of the Sierra Nevada. In 70% of the cases investigated we found that we could model tree crown profiles as a quadratic or cubic trend in conjunction with a simple autoregressive moving average model (ARMA). In the remaining cases we used a quadratic or cubic trend in conjunction with white noise. These stochastic ARMA models are visually and statistically an improvement over using Euclidean geometric crown
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24

Rahbek, Carsten, Nicholas J. Gotelli, Robert K. Colwell, Gary L. Entsminger, Thiago Fernando L. V. B. Rangel, and Gary R. Graves. "Predicting continental-scale patterns of bird species richness with spatially explicit models." Proceedings of the Royal Society B: Biological Sciences 274, no. 1607 (2006): 165–74. http://dx.doi.org/10.1098/rspb.2006.3700.

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The causes of global variation in species richness have been debated for nearly two centuries with no clear resolution in sight. Competing hypotheses have typically been evaluated with correlative models that do not explicitly incorporate the mechanisms responsible for biotic diversity gradients. Here, we employ a fundamentally different approach that uses spatially explicit Monte Carlo models of the placement of cohesive geographical ranges in an environmentally heterogeneous landscape. These models predict species richness of endemic South American birds (2248 species) measured at a continen
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25

Salinas-Ramos, Valeria B., Leonardo Ancillotto, Luca Cistrone, et al. "Artificial illumination influences niche segregation in bats." Environmental Pollution 284 (June 12, 2021): 117187. https://doi.org/10.5281/zenodo.13431676.

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(Uploaded by Plazi for the Bat Literature Project) Artificial light at night (ALAN) is a pervasive form of pollution largely affecting wildlife, from individual behaviour to community structure and dynamics. As nocturnal mammals, bats are often adversely affected by ALAN, yet some "light-opportunistic" species exploit it by hunting insects swarming near lights. Here we used two potentially competing pipistrelle species as models, Kuhl's (Pipistrellus kuhlii) and common (Pipistrellus pipistrellus) pipistrelles, both known to forage in artificially illuminated areas. We set our study in a mounta
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26

Salinas-Ramos, Valeria B., Leonardo Ancillotto, Luca Cistrone, et al. "Artificial illumination influences niche segregation in bats." Environmental Pollution 284 (June 7, 2021): 117187. https://doi.org/10.5281/zenodo.13431676.

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(Uploaded by Plazi for the Bat Literature Project) Artificial light at night (ALAN) is a pervasive form of pollution largely affecting wildlife, from individual behaviour to community structure and dynamics. As nocturnal mammals, bats are often adversely affected by ALAN, yet some "light-opportunistic" species exploit it by hunting insects swarming near lights. Here we used two potentially competing pipistrelle species as models, Kuhl's (Pipistrellus kuhlii) and common (Pipistrellus pipistrellus) pipistrelles, both known to forage in artificially illuminated areas. We set our study in a mounta
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27

Salinas-Ramos, Valeria B., Leonardo Ancillotto, Luca Cistrone, et al. "Artificial illumination influences niche segregation in bats." Environmental Pollution 284 (July 3, 2021): 117187. https://doi.org/10.5281/zenodo.13431676.

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(Uploaded by Plazi for the Bat Literature Project) Artificial light at night (ALAN) is a pervasive form of pollution largely affecting wildlife, from individual behaviour to community structure and dynamics. As nocturnal mammals, bats are often adversely affected by ALAN, yet some "light-opportunistic" species exploit it by hunting insects swarming near lights. Here we used two potentially competing pipistrelle species as models, Kuhl's (Pipistrellus kuhlii) and common (Pipistrellus pipistrellus) pipistrelles, both known to forage in artificially illuminated areas. We set our study in a mounta
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28

Salinas-Ramos, Valeria B., Leonardo Ancillotto, Luca Cistrone, et al. "Artificial illumination influences niche segregation in bats." Environmental Pollution 284 (July 10, 2021): 117187. https://doi.org/10.5281/zenodo.13431676.

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(Uploaded by Plazi for the Bat Literature Project) Artificial light at night (ALAN) is a pervasive form of pollution largely affecting wildlife, from individual behaviour to community structure and dynamics. As nocturnal mammals, bats are often adversely affected by ALAN, yet some "light-opportunistic" species exploit it by hunting insects swarming near lights. Here we used two potentially competing pipistrelle species as models, Kuhl's (Pipistrellus kuhlii) and common (Pipistrellus pipistrellus) pipistrelles, both known to forage in artificially illuminated areas. We set our study in a mounta
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29

Salinas-Ramos, Valeria B., Leonardo Ancillotto, Luca Cistrone, et al. "Artificial illumination influences niche segregation in bats." Environmental Pollution 284 (July 17, 2021): 117187. https://doi.org/10.5281/zenodo.13431676.

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(Uploaded by Plazi for the Bat Literature Project) Artificial light at night (ALAN) is a pervasive form of pollution largely affecting wildlife, from individual behaviour to community structure and dynamics. As nocturnal mammals, bats are often adversely affected by ALAN, yet some "light-opportunistic" species exploit it by hunting insects swarming near lights. Here we used two potentially competing pipistrelle species as models, Kuhl's (Pipistrellus kuhlii) and common (Pipistrellus pipistrellus) pipistrelles, both known to forage in artificially illuminated areas. We set our study in a mounta
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30

Visser, Hans. "The limits of economic theories and models." Central European Review of Economics and Management 4, no. 4 (2020): 47–68. http://dx.doi.org/10.29015/cerem.887.

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Aim: This article was written out of a felt need to reflect on the relationship between economic theories and models on the one hand and the empirical world as we experience it on the other. The question is in particular whether it is possible for economic models and theories to say anything definitive about the world we live in.
 
 Design/Research methods: The article relies on professional publications, both within the field of economics and outside of it.
 
 Conclusions/findings: There is much reason for humility, economic models and theories have hardly anything definit
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31

MARVÁ, M., J. C. POGGIALE, and R. BRAVO DE LA PARRA. "REDUCTION OF SLOW–FAST PERIODIC SYSTEMS WITH APPLICATIONS TO POPULATION DYNAMICS MODELS." Mathematical Models and Methods in Applied Sciences 22, no. 10 (2012): 1250025. http://dx.doi.org/10.1142/s021820251250025x.

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This work deals with the approximate reduction of a nonautonomous two time scales ordinary differential equations system with periodic fast dynamics. We illustrate this technique with the analysis of two models belonging to different fields in ecology. On the one hand, we deal with a two patches periodic predator–prey model with a refuge for prey. Considering migrations between patches to be faster than local interaction allows us to study a three-dimensional system by means of a two-dimensional one. On the other hand, a two time scales periodic eco-epidemic model is addressed by considering t
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32

Perez-Lopez, Jhean E., Diego A. Rueda-Gomez, and Elder J. Villamizar-Roa. "Existence of global solutions for cross-diffusion models in a fractional setting." Electronic Journal of Differential Equations 2023, no. 01-87 (2023): 77. http://dx.doi.org/10.58997/ejde.2023.77.

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This article is devoted to the analysis of a fractional chemotaxis model in \(\mathbb{R}^N\) with a time fractional variation in the Caputo sense and a fractional spatial diffusion. This model encompasses the fractional Keller-Segel system [9] which describes the movement of living organisms towards higher concentration regions of chemical attractants, and a fractional Lotka-Volterra competition model [16] describing the competition interspecies in which one of the competing species avoids encounters with rivals by means of chemorepulsion. We prove product estimates in Besov-Morrey spaces and
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33

Munteanu, Florian. "A study of a three-dimensional competitive Lotka–Volterra system." ITM Web of Conferences 34 (2020): 03010. http://dx.doi.org/10.1051/itmconf/20203403010.

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In this paper we will consider a community of three mutually competing species modeled by the Lotka–Volterra system: $$ {\left\{ {\dot x} \right._i} = {x_i}\left( {{b_i} - \sum\limits_{i = 1}^3 {{a_{ij}}{x_j}} } \right),i = 1,2,3 $$ where xi(t) is the population size of the i-th species at time t, Ẋi denote $${{dxi} \over {dt}}$$ and aij, bi are all strictly positive real numbers. This system of ordinary differential equations represent a class of Kolmogorov systems. This kind of systems is widely used in the mathematical models for the dynamics of population, like predator-prey models or differ
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34

Tucker, Anton D., Colin J. Limpus, Keith R. McDonald, and Hamish I. McCallum. "Growth dynamics of freshwater crocodiles (Crocodylus johnstoni) in the Lynd River, Queensland." Australian Journal of Zoology 54, no. 6 (2006): 409. http://dx.doi.org/10.1071/zo06099.

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We analysed growth models for a population of Australian freshwater crocodiles (Crocodylus johnstoni). Competing growth models were tested with two data sets: individuals of known-age, and growth interval data from capture-recapture records. A von Bertalanffy function provided the best empirical fit of several growth models. The estimated asymptotic lengths (snout–vent length of males = 125.3 cm; females = 97.4 cm) agreed well with average lengths of the ten largest males and females in the population. Sexual size dimorphism in this species resulted from a combination of smaller mean length at
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35

Wenger, Seth J., James T. Peterson, Mary C. Freeman, Byron J. Freeman, and D. David Homans. "Stream fish occurrence in response to impervious cover, historic land use, and hydrogeomorphic factors." Canadian Journal of Fisheries and Aquatic Sciences 65, no. 7 (2008): 1250–64. http://dx.doi.org/10.1139/f08-046.

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We evaluated competing models explaining the occurrence of five stream fishes in an urbanizing watershed to determine the relative importance of (a) impervious surface and other indicators of current land use, (b) historic land use (e.g., agriculture, impoundments), and (c) hydrogeomorphic characteristics (e.g., stream size, elevation, geology). For four of five species, the best-supported models were those that included both current effective impervious cover and historic land use predictor variables, although models with only effective impervious cover were equally well supported for two of
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36

Lester, Rebecca E., Ian T. Webster, Peter G. Fairweather, and William J. Young. "Linking water-resource models to ecosystem-response models to guide water-resource planning - an example from the Murray - Darling Basin, Australia." Marine and Freshwater Research 62, no. 3 (2011): 279. http://dx.doi.org/10.1071/mf09298.

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Objectively assessing ecological benefits of competing watering strategies is difficult. We present a framework of coupled models to compare scenarios, using the Coorong, the estuary for the Murray–Darling River system in South Australia, as a case study. The framework links outputs from recent modelling of the effects of climate change on water availability across the Murray–Darling Basin to a hydrodynamic model for the Coorong, and then an ecosystem-response model. The approach has significant advantages, including the following: (1) evaluating management actions is straightforward because o
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37

Menden-Deuer, Susanne, Julie Rowlett, Medet Nursultanov, Sinead Collins, and Tatiana Rynearson. "Biodiversity of marine microbes is safeguarded by phenotypic heterogeneity in ecological traits." PLOS ONE 16, no. 8 (2021): e0254799. http://dx.doi.org/10.1371/journal.pone.0254799.

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Why, contrary to theoretical predictions, do marine microbe communities harbor tremendous phenotypic heterogeneity? How can so many marine microbe species competing in the same niche coexist? We discovered a unifying explanation for both phenomena by investigating a non-cooperative game that interpolates between individual-level competitions and species-level outcomes. We identified all equilibrium strategies of the game. These strategies represent the probability distribution of competitive abilities (e.g. traits) and are characterized by maximal phenotypic heterogeneity. They are also neutra
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38

Brown, Paul L., and Scott J. Markich. "An Evaluation of Metal Binding Constants to Cell Surface Receptors in Freshwater Organisms, and Their Application in Biotic Ligand Models to Predict Metal Toxicity." Water 16, no. 20 (2024): 2999. http://dx.doi.org/10.3390/w16202999.

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Biotic ligand models (BLMs) predict the toxicity of metals in aquatic environments by accounting for metal interactions with cell surface receptors (biotic ligands) in organisms, including water chemistry (metal speciation) and competing cations. Metal binding constants (log KMBL values), which indicate the affinity of metals for cell surface receptors, are fundamental to BLMs, but have only been reported for a few commonly investigated metals and freshwater species. This review evaluated literature toxicity and uptake data for seven key metals (cadmium (Cd), cobalt (Co), copper (Cu), nickel (
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39

Gourbiere, Sébastien, Pierre Auger, Jean Luc Chassé, and Bruno Faivre. "Extinction Waves in Spatial Population Dynamic Models — the Case of two Sibling Bird Species H. Icterina and H. Polygotta." Journal of Biological Systems 05, no. 03 (1997): 359–74. http://dx.doi.org/10.1142/s0218339097000229.

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Two spatial models of populations dynamics are presented to study the evolution of spatial distributions of two sibling species. We defined firstly an interspecific competition model and secondly a one predator-two preys model. They are constituted of a two dimensional discrete set of cells.Initially, the two competing or prey species occupy two complementary areas with common zone and the predator is regularly distributed. Populations of each cell are assumed to firstly have local interactions of competition or selective predation and secondly disperse to the four nearest neighbouring cells.
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40

Hincal, Evren, Shorsh Mohammed, and Bilgen Kaymakamzade. "Stability analysis of an ecoepidemiological model consisting of a prey and tow competing predators with Si-disease in prey and toxicant." BULLETIN OF THE KARAGANDA UNIVERSITY-MATHEMATICS 99, no. 3 (2020): 55–61. http://dx.doi.org/10.31489/2020m3/55-61.

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In the present paper, we study two eco-epidemiological models. The first one consists of a prey and two competing predators with SI-disease in prey species spreading by contacts between susceptible prey and infected prey. This model assumes linear functional response. The second model is the modification of the first one when the effect of toxicant is taken into account. In this paper, we examine the dynamical behavior of non-survival and free equilibrium points of our proposed model.
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41

Cantrell, Robert Stephen. "Global higher bifurcations in coupled systems of nonlinear eigenvalue problems." Proceedings of the Royal Society of Edinburgh: Section A Mathematics 106, no. 1-2 (1987): 113–20. http://dx.doi.org/10.1017/s0308210500018242.

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SynopsisCoexistent steady-state solutions to a Lotka–Volterra model for two freely-dispersing competing species have been shown by several authors to arise as global secondary bifurcation phenomena. In this paper we establish conditions for the existence of global higher dimensional n-ary bifurcation in general systems of multiparameter nonlinear eigenvalue problems which preserve the coupling structure of diffusive steady-state Lotka–Volterra models. In establishing our result, we mainly employ the recently-developed multidimensional global multiparameter theory of Alexander–Antman. Condition
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42

Rheims, Cristina, Bernhard Huber, and Antonio Brescovit. "Exaggerated female genitalia in two new spider species (Araneae: Pholcidae), with comments on genital evolution by female choice versus antagonistic coevolution." Insect Systematics & Evolution 36, no. 3 (2005): 285–92. http://dx.doi.org/10.1163/187631205788838375.

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AbstractTwo new species are described that are remarkable in having exaggerated female genitalia: Mesabolivar samatiaguassu sp. n. and M. cuarassu sp. n.. Comparative evidence as well as size measurements of male and female structures suggest that the exaggerated female external genitalia correlate functionally with elongated male cheliceral apophyses. These morphological findings are discussed in the light of competing models of genital evolution. Luring mating acts, female cooperative behaviour and morphology, as well as the probable costs associated with the female structures argue against
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43

Yoshioka, Hidekazu, and Yumi Yoshioka. "On a non-standard two-species stochastic competing system and a related degenerate parabolic equation." ANZIAM Journal 61 (June 7, 2020): C1—C14. http://dx.doi.org/10.21914/anziamj.v61i0.15040.

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We propose and analyse a new stochastic competing two-species population dynamics model. Competing algae population dynamics in river environments, an important engineering problem, motivates this model. The algae dynamics are described by a system of stochastic differential equations with the characteristic that the two populations are competing with each other through the environmental capacities. Unique existence of the uniformly bounded strong solution is proven and an attractor is identified. The Kolmogorov backward equation associated with the population dynamics is formulated and its un
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44

Rothschild, Jeremy, Tianyi Ma, Joshua N. Milstein, and Anton Zilman. "Spatial exclusion leads to “tug-of-war” ecological dynamics between competing species within microchannels." PLOS Computational Biology 19, no. 12 (2023): e1010868. http://dx.doi.org/10.1371/journal.pcbi.1010868.

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Competition is ubiquitous in microbial communities, shaping both their spatial and temporal structure and composition. Classical minimal models of competition, such as the Moran model, have been employed in ecology and evolutionary biology to understand the role of fixation and invasion in the maintenance of population diversity. Informed by recent experimental studies of cellular competition in confined spaces, we extend the Moran model to incorporate mechanical interactions between cells that divide within the limited space of a one-dimensional open microchannel. The model characterizes the
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45

Kunakh, O. N., S. S. Kramarenko, A. V. Zhukov, A. S. Kramarenko, and N. V. Yorkina. "Fitting competing models and evaluation of model parameters of the abundance distribution of the land snail Vallonia pulchella (Pulmonata, Valloniidae)." Regulatory Mechanisms in Biosystems 9, no. 2 (2018): 198–202. http://dx.doi.org/10.15421/021829.

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This paper summarizes the mechanisms behind the patterning of the intra-population abundance distribution of the land snail Vallonia pulchella (Müller, 1774). The molluscs were collected in recultivated soil formed on red-brown clays (Pokrov, Ukraine). Data obtained in this study reveal that V. pulchella population abundance ranges from 1 to 13 individuals per 100 g of soil sample. To obtain estimates of the mean, three models were used: the model of the arithmetic mean, the Poisson model and a log-normal model. The arithmetic mean of the occurrence of this species during the study period was
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46

Barbosa, Lorena Oliveira, Emanuel Arnoni Costa, Cristine Tagliapietra Schons, César Augusto Guimarães Finger, Veraldo Liesenberg, and Polyanna da Conceição Bispo. "Individual Tree Basal Area Increment Models for Brazilian Pine (Araucaria angustifolia) Using Artificial Neural Networks." Forests 13, no. 7 (2022): 1108. http://dx.doi.org/10.3390/f13071108.

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This research aimed to develop statistical models to predict basal area increment (BAI) for Araucaria angustifolia using Artificial Neural Networks (ANNs). Tree species were measured for their biometric variables and identified at the species level. The data were subdivided into three groups: (1) intraspecific competition with A. angustifolia; (2) the first group of species that causes interspecific competition with A. angustifolia; and (3) the second group of species that causes interspecific competition with A. angustifolia. We calculated both the dependent and independent distance and the d
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47

Pacciani-Mori, Leonardo, Samir Suweis, Amos Maritan, and Andrea Giometto. "Constrained proteome allocation affects coexistence in models of competitive microbial communities." ISME Journal 15, no. 5 (2021): 1458–77. http://dx.doi.org/10.1038/s41396-020-00863-0.

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AbstractMicrobial communities are ubiquitous and play crucial roles in many natural processes. Despite their importance for the environment, industry and human health, there are still many aspects of microbial community dynamics that we do not understand quantitatively. Recent experiments have shown that the structure and composition of microbial communities are intertwined with the metabolism of the species that inhabit them, suggesting that properties at the intracellular level such as the allocation of cellular proteomic resources must be taken into account when describing microbial communi
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48

Alsolami, Abdulrahman Ali, and Miled El Hajji. "Mathematical Analysis of a Bacterial Competition in a Continuous Reactor in the Presence of a Virus." Mathematics 11, no. 4 (2023): 883. http://dx.doi.org/10.3390/math11040883.

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In this paper, we discuss the competition of two species for a single essential growth-limiting nutriment with viral infection that affects only the first species. Although the classical models without viral infection suggest competitive exclusion, this model exhibits the stable coexistence of both species. We reduce the fourth-dimension proposed model to a three-dimension one. Thus, the coexistence of the two competing species is demonstrated using the theory of uniform persistence applied to the three-variable reduced system. We prove that there is no coexistence of both species without the
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Ghosh, Preetam, Pratip Rana, Vijayaraghavan Rangachari, Jhinuk Saha, Edward Steen та Ashwin Vaidya. "A game-theoretic approach to deciphering the dynamics of amyloid- β aggregation along competing pathways". Royal Society Open Science 7, № 4 (2020): 191814. http://dx.doi.org/10.1098/rsos.191814.

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Aggregation of amyloid- β (A β ) peptides is a significant event that underpins Alzheimer's disease (AD). A β aggregates, especially the low-molecular weight oligomers, are the primary toxic agents in AD pathogenesis. Therefore, there is increasing interest in understanding their formation and behaviour. In this paper, we use our previously established results on heterotypic interactions between A β and fatty acids (FAs) to investigate off-pathway aggregation under the control of FA concentrations to develop a mathematical framework that captures the mechanism. Our framework to define and simu
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Sneddon, Lynne U. "Evolution of nociception and pain: evidence from fish models." Philosophical Transactions of the Royal Society B: Biological Sciences 374, no. 1785 (2019): 20190290. http://dx.doi.org/10.1098/rstb.2019.0290.

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In order to survive, animals must avoid injury and be able to detect potentially damaging stimuli via nociceptive mechanisms. If the injury is accompanied by a negative affective component, future behaviour should be altered and one can conclude the animal experienced the discomfort associated with pain. Fishes are the most successful vertebrate group when considering the number of species that have filled a variety of aquatic niches. The empirical evidence for nociception in fishes from the underlying molecular biology, neurobiology and anatomy of nociceptors through to whole animal behaviour
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