Journal articles on the topic 'Cross-population diffusion'
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Chen, Li, and Ansgar Jüngel. "Analysis of a parabolic cross-diffusion population model without self-diffusion." Journal of Differential Equations 224, no. 1 (May 2006): 39–59. http://dx.doi.org/10.1016/j.jde.2005.08.002.
Full textGaliano, Gonzalo, and Julián Velasco. "Well-Posedness of a Cross-Diffusion Population Model with Nonlocal Diffusion." SIAM Journal on Mathematical Analysis 51, no. 4 (January 2019): 2884–902. http://dx.doi.org/10.1137/18m1229249.
Full textvan Everdingen, Yvonne M., Wouter B. Aghina, and Dennis Fok. "Forecasting cross-population innovation diffusion: A Bayesian approach." International Journal of Research in Marketing 22, no. 3 (September 2005): 293–308. http://dx.doi.org/10.1016/j.ijresmar.2004.11.003.
Full textYamada, Yoshio, and Kousuke Kuto. "On limit systems for some population models with cross-diffusion." Discrete and Continuous Dynamical Systems - Series B 17, no. 8 (July 2012): 2745–69. http://dx.doi.org/10.3934/dcdsb.2012.17.2745.
Full textDhariwal, Gaurav, Ansgar Jüngel, and Nicola Zamponi. "Global martingale solutions for a stochastic population cross-diffusion system." Stochastic Processes and their Applications 129, no. 10 (October 2019): 3792–820. http://dx.doi.org/10.1016/j.spa.2018.11.001.
Full textZamponi, Nicola, and Ansgar Jüngel. "Analysis of degenerate cross-diffusion population models with volume filling." Annales de l'Institut Henri Poincaré C, Analyse non linéaire 34, no. 1 (January 2017): 1–29. http://dx.doi.org/10.1016/j.anihpc.2015.08.003.
Full textBarrett, John W., and James F. Blowey. "Finite element approximation of a nonlinear cross-diffusion population model." Numerische Mathematik 98, no. 2 (June 15, 2004): 195–221. http://dx.doi.org/10.1007/s00211-004-0540-y.
Full textLe, Dung. "Global Existence for some Cross Diffusion Systems with Equal Cross Diffusion/Reaction Rates." Advanced Nonlinear Studies 20, no. 4 (November 1, 2020): 833–45. http://dx.doi.org/10.1515/ans-2020-2096.
Full textWang, Weiming, Zhengguang Guo, R. K. Upadhyay, and Yezhi Lin. "Pattern Formation in a Cross-Diffusive Holling-Tanner Model." Discrete Dynamics in Nature and Society 2012 (2012): 1–12. http://dx.doi.org/10.1155/2012/828219.
Full textCAPASSO, V., A. DI LIDDO, F. NOTARNICOLA, and L. RUSSO. "EPIDEMIC REACTION-DIFFUSION SYSTEM WITH CROSS-DIFFUSION: MODELING AND NUMERICAL SOLUTION." Journal of Biological Systems 03, no. 03 (September 1995): 733–46. http://dx.doi.org/10.1142/s0218339095000678.
Full textChen, Li, and Ansgar Jüngel. "Analysis of a Multidimensional Parabolic Population Model with Strong Cross-Diffusion." SIAM Journal on Mathematical Analysis 36, no. 1 (January 2004): 301–22. http://dx.doi.org/10.1137/s0036141003427798.
Full textGaliano, Gonzalo, and Virginia Selgas. "Analysis of a splitting–differentiation population model leading to cross-diffusion." Computers & Mathematics with Applications 70, no. 12 (December 2015): 2933–45. http://dx.doi.org/10.1016/j.camwa.2015.10.005.
Full textJüngel, Ansgar, and Nicola Zamponi. "Qualitative behavior of solutions to cross-diffusion systems from population dynamics." Journal of Mathematical Analysis and Applications 440, no. 2 (August 2016): 794–809. http://dx.doi.org/10.1016/j.jmaa.2016.03.076.
Full textChen, Xiuqing, Esther S. Daus, and Ansgar Jüngel. "Global Existence Analysis of Cross-Diffusion Population Systems for Multiple Species." Archive for Rational Mechanics and Analysis 227, no. 2 (September 15, 2017): 715–47. http://dx.doi.org/10.1007/s00205-017-1172-6.
Full textShao, Yangyang, Yan Meng, and Xinyue Xu. "Turing Instability and Spatiotemporal Pattern Formation Induced by Nonlinear Reaction Cross-Diffusion in a Predator–Prey System with Allee Effect." Mathematics 10, no. 9 (May 1, 2022): 1500. http://dx.doi.org/10.3390/math10091500.
Full textZhang, Guohong, and Xiaoli Wang. "Effect of Diffusion and Cross-Diffusion in a Predator-Prey Model with a Transmissible Disease in the Predator Species." Abstract and Applied Analysis 2014 (2014): 1–12. http://dx.doi.org/10.1155/2014/167856.
Full textWang, Xiaoqin, and Yongli Cai. "Cross-Diffusion-Driven Instability in a Reaction-Diffusion Harrison Predator-Prey Model." Abstract and Applied Analysis 2013 (2013): 1–9. http://dx.doi.org/10.1155/2013/306467.
Full textLI, AN-WEI, ZHEN JIN, LI LI, and JIAN-ZHONG WANG. "EMERGENCE OF OSCILLATORY TURING PATTERNS INDUCED BY CROSS DIFFUSION IN A PREDATOR–PREY SYSTEM." International Journal of Modern Physics B 26, no. 31 (December 4, 2012): 1250193. http://dx.doi.org/10.1142/s0217979212501937.
Full textANDREIANOV, BORIS, MOSTAFA BENDAHMANE, and RICARDO RUIZ-BAIER. "ANALYSIS OF A FINITE VOLUME METHOD FOR A CROSS-DIFFUSION MODEL IN POPULATION DYNAMICS." Mathematical Models and Methods in Applied Sciences 21, no. 02 (February 2011): 307–44. http://dx.doi.org/10.1142/s0218202511005064.
Full textOuedraogo, Hamidou, Wendkouni Ouedraogo, and Boureima Sangare. "Mathematical analysis of toxin-phytoplankton-fish model with self-diffusion and cross-diffusion." BIOMATH 8, no. 2 (December 16, 2019): 1911237. http://dx.doi.org/10.11145/j.biomath.2019.11.237.
Full textKennedy, T. A. B., and S. Swain. "Population trapping with cross-correlated lasers of non-Lorentzian (phase diffusion) bandshape." Journal of Physics B: Atomic and Molecular Physics 18, no. 23 (December 14, 1985): 4639–46. http://dx.doi.org/10.1088/0022-3700/18/23/015.
Full textKennedy, T. A. B., and S. Swain. "Population trapping with cross-correlated lasers of non-Lorentzian (phase diffusion) bandshape." Journal of Physics B: Atomic and Molecular Physics 19, no. 16 (August 28, 1986): 2599. http://dx.doi.org/10.1088/0022-3700/19/16/519.
Full textDreher, Michael. "Analysis of a population model with strong cross-diffusion in unbounded domains." Proceedings of the Royal Society of Edinburgh: Section A Mathematics 138, no. 04 (July 28, 2008): 769–86. http://dx.doi.org/10.1017/s0308210506001259.
Full textFrancesca Carfora, Maria, and Isabella Torcicollo. "Cross-Diffusion-Driven Instability in a Predator-Prey System with Fear and Group Defense." Mathematics 8, no. 8 (July 30, 2020): 1244. http://dx.doi.org/10.3390/math8081244.
Full textWang, Pengfei, Min Zhao, Hengguo Yu, Chuanjun Dai, Nan Wang, and Beibei Wang. "Nonlinear Dynamics of a Toxin-Phytoplankton-Zooplankton System with Self- and Cross-Diffusion." Discrete Dynamics in Nature and Society 2016 (2016): 1–11. http://dx.doi.org/10.1155/2016/4893451.
Full textLI, HUICONG, RUI PENG, and TIAN XIANG. "Dynamics and asymptotic profiles of endemic equilibrium for two frequency-dependent SIS epidemic models with cross-diffusion." European Journal of Applied Mathematics 31, no. 1 (September 18, 2018): 26–56. http://dx.doi.org/10.1017/s0956792518000463.
Full textTao, Youshan, and Michael Winkler. "Boundedness and stabilization in a population model with cross‐diffusion for one species." Proceedings of the London Mathematical Society 119, no. 6 (July 25, 2019): 1598–632. http://dx.doi.org/10.1112/plms.12276.
Full textKondratyev, Stanislav, Léonard Monsaingeon, and Dmitry Vorotnikov. "A fitness-driven cross-diffusion system from population dynamics as a gradient flow." Journal of Differential Equations 261, no. 5 (September 2016): 2784–808. http://dx.doi.org/10.1016/j.jde.2016.05.012.
Full textWen, Zijuan, and Shengmao Fu. "Global solutions to a class of multi-species reaction-diffusion systems with cross-diffusions arising in population dynamics." Journal of Computational and Applied Mathematics 230, no. 1 (August 2009): 34–43. http://dx.doi.org/10.1016/j.cam.2008.10.064.
Full textSUN, GUI-QUAN, ZHEN JIN, YI-GUO ZHAO, QUAN-XING LIU, and LI LI. "SPATIAL PATTERN IN A PREDATOR-PREY SYSTEM WITH BOTH SELF- AND CROSS-DIFFUSION." International Journal of Modern Physics C 20, no. 01 (January 2009): 71–84. http://dx.doi.org/10.1142/s0129183109013467.
Full textKumari, Nitu, and Nishith Mohan. "Cross Diffusion Induced Turing Patterns in a Tritrophic Food Chain Model with Crowley-Martin Functional Response." Mathematics 7, no. 3 (March 1, 2019): 229. http://dx.doi.org/10.3390/math7030229.
Full textGaliano, Gonzalo. "On a cross-diffusion population model deduced from mutation and splitting of a single species." Computers & Mathematics with Applications 64, no. 6 (September 2012): 1927–36. http://dx.doi.org/10.1016/j.camwa.2012.03.045.
Full textUPADHYAY, RANJIT KUMAR, ATASI PATRA, B. DUBEY, and N. K. THAKUR. "A PREDATOR–PREY INTERACTION MODEL WITH SELF- AND CROSS-DIFFUSION IN AQUATIC SYSTEMS." Journal of Biological Systems 22, no. 04 (November 11, 2014): 691–712. http://dx.doi.org/10.1142/s0218339014500284.
Full textGaliano, Gonzalo, and Julián Velasco. "Competing through altering the environment: A cross-diffusion population model coupled to transport–Darcy flow equations." Nonlinear Analysis: Real World Applications 12, no. 5 (October 2011): 2826–38. http://dx.doi.org/10.1016/j.nonrwa.2011.04.009.
Full textLiu, Yuanyuan, and Youshan Tao. "Dynamics in a parabolic–elliptic two-species population competition model with cross-diffusion for one species." Journal of Mathematical Analysis and Applications 456, no. 1 (December 2017): 1–15. http://dx.doi.org/10.1016/j.jmaa.2017.05.058.
Full textGaliano, Gonzalo, Mar�a L. Garz�n, and Ansgar J�ngel. "Semi-discretization in time and numerical convergence of solutions of a nonlinear cross-diffusion population model." Numerische Mathematik 93, no. 4 (February 1, 2003): 655–73. http://dx.doi.org/10.1007/s002110200406.
Full textChen, Xiuqing, and Ansgar Jüngel. "Weak–strong uniqueness of renormalized solutions to reaction–cross-diffusion systems." Mathematical Models and Methods in Applied Sciences 29, no. 02 (February 2019): 237–70. http://dx.doi.org/10.1142/s0218202519500088.
Full textMori, Tatsuki, Takashi Suzuki, and Shoji Yotsutani. "Numerical approach to existence and stability of stationary solutions to a SKT cross-diffusion equation." Mathematical Models and Methods in Applied Sciences 28, no. 11 (October 2018): 2191–210. http://dx.doi.org/10.1142/s0218202518400122.
Full textKaufman, Jason, and Orlando Patterson. "Cross-National Cultural Diffusion: The Global Spread of Cricket." American Sociological Review 70, no. 1 (February 2005): 82–110. http://dx.doi.org/10.1177/000312240507000105.
Full textWang, Caiyun, Yongyong Pei, Yaqun Niu, and Ruiqiang He. "Complex Dynamical Behavior of Holling–Tanner Predator-Prey Model with Cross-Diffusion." Complexity 2022 (January 10, 2022): 1–14. http://dx.doi.org/10.1155/2022/8238384.
Full textGorchov, David L., Steven M. Castellano, and Douglas A. Noe. "Long-Distance Dispersal and Diffusion in the Invasion of Lonicera maackii." Invasive Plant Science and Management 7, no. 3 (September 2014): 464–72. http://dx.doi.org/10.1614/ipsm-d-13-00105.1.
Full textVan den Hof, Malon, Anne Marleen ter Haar, Matthan W. A. Caan, Rene Spijker, Johanna H. van der Lee, and Dasja Pajkrt. "Brain structure of perinatally HIV-infected patients on long-term treatment." Neurology: Clinical Practice 9, no. 5 (April 25, 2019): 433–42. http://dx.doi.org/10.1212/cpj.0000000000000637.
Full textHorstmann, Dirk. "On some cross-diffusion models in population dynamics and their connections to well-posed filters in signal enhancement processes." IMA Journal of Applied Mathematics 70, no. 3 (June 1, 2005): 386–99. http://dx.doi.org/10.1093/imamat/hxh036.
Full textArif, Muhammad Shoaib, Kamaleldin Abodayeh, and Asad Ejaz. "On the stability of the diffusive and non-diffusive predator-prey system with consuming resources and disease in prey species." Mathematical Biosciences and Engineering 20, no. 3 (2023): 5066–93. http://dx.doi.org/10.3934/mbe.2023235.
Full textZamponi, Nicola, and Ansgar Jüngel. "Corrigendum to “Analysis of degenerate cross-diffusion population models with volume filling” [Ann. Inst. Henri Poincaré 34 (1) (2017) 1–29]." Annales de l'Institut Henri Poincaré C, Analyse non linéaire 34, no. 3 (May 2017): 789–92. http://dx.doi.org/10.1016/j.anihpc.2016.06.001.
Full textFayard, Patrick, and Timothy R. Field. "Discrete Models for Scattering Populations." Journal of Applied Probability 48, no. 1 (March 2011): 285–92. http://dx.doi.org/10.1239/jap/1300198150.
Full textFayard, Patrick, and Timothy R. Field. "Discrete Models for Scattering Populations." Journal of Applied Probability 48, no. 01 (March 2011): 285–92. http://dx.doi.org/10.1017/s0021900200007774.
Full textCremer, Jonas, Igor Segota, Chih-yu Yang, Markus Arnoldini, John T. Sauls, Zhongge Zhang, Edgar Gutierrez, Alex Groisman, and Terence Hwa. "Effect of flow and peristaltic mixing on bacterial growth in a gut-like channel." Proceedings of the National Academy of Sciences 113, no. 41 (September 28, 2016): 11414–19. http://dx.doi.org/10.1073/pnas.1601306113.
Full textRocheleau, Jonathan V., and Nils O. Petersen. "Sendai Virus Binds to a Dispersed Population of NBD-GD1a." Bioscience Reports 20, no. 3 (June 1, 2000): 139–55. http://dx.doi.org/10.1023/a:1005559317975.
Full textWijsen, N., A. Aran, J. Pomoell, and S. Poedts. "Modelling three-dimensional transport of solar energetic protons in a corotating interaction region generated with EUHFORIA." Astronomy & Astrophysics 622 (January 28, 2019): A28. http://dx.doi.org/10.1051/0004-6361/201833958.
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