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King-Yeung Lam, Yuan Lou & Frithjof Lutscher. (2015) Evolution of dispersal in closed advective environments. Journal of Biological Dynamics 9:sup1, pages 188-212.
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P. A. Zelenchuk & V. G. Tsybulin. (2023) Mathematical model of ideal free distribution in the predator-prey system. Contemporary Mathematics. Fundamental Directions 69:2, pages 237-249.
Crossref
Crossref
ERIC M. TAKYI, MATTHEW A. BEAUREGARD & RANA D. PARSHAD. (2023) ON MODIFIED VARIANTS OF CLASSICAL TROJAN Y CHROMOSOME MODEL WITH GLOBAL SOLUTIONS. Journal of Biological Systems 31:02, pages 459-486.
Crossref
Crossref
King-Yeung Lam, Ray Lee & Yuan Lou. (2023) Population Dynamics in an Advective Environment. Communications on Applied Mathematics and Computation.
Crossref
Crossref
De Tang & Zhi-An Wang. (2023) Population dynamics with resource-dependent dispersal: single- and two-species models. Journal of Mathematical Biology 86:2.
Crossref
Crossref
Emil F. Frølich & Uffe H. Thygesen. (2022) Population games with instantaneous behavior and the Rosenzweig–MacArthur model. Journal of Mathematical Biology 85:5.
Crossref
Crossref
Xiaoqing He & Liu Liu. (2022) On the Conjecture of the Role of Advection in a Two-Species Competition-Diffusion Model. SIAM Journal on Applied Dynamical Systems 21:3, pages 1663-1685.
Crossref
Crossref
Ishrat Zahan, Md. Kamrujjaman, Md. Abdul Alim, Muhammad Mohebujjaman & Taufiquar Khan. (2022) Dynamics of heterogeneous population due to spatially distributed parameters and an ideal free pair. Frontiers in Applied Mathematics and Statistics 8.
Crossref
Crossref
Yuanxian Hui, Yunfeng Liu & Zhong Zhao. (2022) Hopf Bifurcation in a Delayed Equation with Diffusion Driven by Carrying Capacity. Mathematics 10:14, pages 2382.
Crossref
Crossref
Robert Stephen Cantrell, Chris Cosner & Ying Zhou. (2022) Ideal free dispersal in integrodifference models. Journal of Mathematical Biology 85:1.
Crossref
Crossref
Md. Kamrujjaman, Ishrat Zahan, Kamrun Nahar Keya & Md Nazmul Hassan. (2022) Interplay of resource mappings and evolutionary diffusion: Competitive exclusion and coexistence analysis. Partial Differential Equations in Applied Mathematics 5, pages 100398.
Crossref
Crossref
Wenyi Qin & Peng Zhou. (2022) A REVIEW ON THE DYNAMICS OF TWO SPECIES COMPETITIVE ODE AND PARABOLIC SYSTEMS. Journal of Applied Analysis & Computation 12:5, pages 2075-2109.
Crossref
Crossref
Yunfeng Liu & Yuanxian Hui. (2021) Hopf bifurcation in a delayed reaction–diffusion–advection equation with ideal free dispersal. Boundary Value Problems 2021:1.
Crossref
Crossref
Anshuman Swain, Tyler Hoffman, Kirtus Leyba & William F. Fagan. (2021) Exploring the Evolution of Perception: An Agent-Based Approach. Frontiers in Ecology and Evolution 9.
Crossref
Crossref
P. A. Zelenchuk & V. G. Tsybulin. (2021) The Ideal Free Distribution in a Predator–Prey Model with Multifactor Taxis. Biophysics 66:3, pages 464-471.
Crossref
Crossref
Qiong Meng, Guirong Liu & Zhen Jin. (2021) Hopf bifurcation in a reaction-diffusive-advection two-species competition model with one delay. Electronic Journal of Qualitative Theory of Differential Equations:72, pages 1-24.
Crossref
Crossref
Robert Stephen Cantrell & King-Yeung Lam. (2021) On the Evolution of Slow Dispersal in MultiSpecies Communities. SIAM Journal on Mathematical Analysis 53:4, pages 4933-4964.
Crossref
Crossref
Robert Stephen Cantrell, Chris Cosner & King-Yeung Lam. (2021) Ideal Free Dispersal under General Spatial Heterogeneity and Time Periodicity. SIAM Journal on Applied Mathematics 81:3, pages 789-813.
Crossref
Crossref
Jingjing Lyu, Pamela J. Schofield, Kristen M. Reaver, Matthew Beauregard & Rana D. Parshad. (2019) A comparison of the Trojan Y Chromosome strategy to harvesting models for eradication of nonnative species. Natural Resource Modeling 33:2.
Crossref
Crossref
Li Ma & De Tang. (2020) Existence and Stability of Stationary States of a Reaction–Diffusion-Advection Model for Two Competing Species. International Journal of Bifurcation and Chaos 30:05, pages 2050065.
Crossref
Crossref
De Tang & Peng Zhou. (2020) On a Lotka-Volterra competition-diffusion-advection system: Homogeneity vs heterogeneity. Journal of Differential Equations 268:4, pages 1570-1599.
Crossref
Crossref
Matthew A. Beauregard, Rana D. Parshad, Sarah Boon, Harley Conaway, Thomas Griffin & Jingjing Lyu. (2020) Optimal control and analysis of a modified trojan Y-Chromosome strategy. Ecological Modelling 416, pages 108854.
Crossref
Crossref
Gabriel Maciel, Chris Cosner, Robert Stephen Cantrell & Frithjof Lutscher. (2019) Evolutionarily stable movement strategies in reaction–diffusion models with edge behavior. Journal of Mathematical Biology 80:1-2, pages 61-92.
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Robert Stephen Cantrell, Chris Cosner, Mark A. Lewis & Yuan Lou. (2018) Evolution of dispersal in spatial population models with multiple timescales. Journal of Mathematical Biology 80:1-2, pages 3-37.
Crossref
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Elena Braverman & Ilia Ilmer. (2019) On the interplay of harvesting and various diffusion strategies for spatially heterogeneous populations. Journal of Theoretical Biology 466, pages 106-118.
Crossref
Crossref
Rana D. Parshad, Guangming Yao & Wen Li. (2017) Another Mechanism to Control Invasive Species and Population Explosion: “Ecological” Damping Continued. Differential Equations and Dynamical Systems 27:1-3, pages 249-276.
Crossref
Crossref
Robert Stephen Cantrell & Chris Cosner. (2018) Evolutionary stability of ideal free dispersal under spatial heterogeneity and time periodicity. Mathematical Biosciences 305, pages 71-76.
Crossref
Crossref
Chang-Hong Wu. (2018) Biased movement and the ideal free distribution in some free boundary problems. Journal of Differential Equations 265:9, pages 4251-4282.
Crossref
Crossref
Robert Stephen Cantrell, Chris Cosner, Salomé Martínez & Nicolás Torres. (2018) On a competitive system with ideal free dispersal. Journal of Differential Equations 265:8, pages 3464-3493.
Crossref
Crossref
Peng Zhou & Dongmei Xiao. (2018) Global dynamics of a classical Lotka–Volterra competition–diffusion–advection system. Journal of Functional Analysis 275:2, pages 356-380.
Crossref
Crossref
De Tang & Li Ma. (2018) Dynamical behavior of a general reaction–diffusion–advection model for two competing species. Computers & Mathematics with Applications 75:4, pages 1128-1142.
Crossref
Crossref
A.N. Gorban & N. Çabukoǧlu. (2018) Basic model of purposeful kinesis. Ecological Complexity 33, pages 75-83.
Crossref
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William F. Fagan, Eliezer Gurarie, Sharon Bewick, Allison Howard, Robert Stephen Cantrell & Chris Cosner. (2017) Perceptual Ranges, Information Gathering, and Foraging Success in Dynamic Landscapes. The American Naturalist 189:5, pages 474-489.
Crossref
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Robert Stephen Cantrell, Chris Cosner, Yuan Lou & Sebastian J. Schreiber. (2017) Evolution of natal dispersal in spatially heterogenous environments. Mathematical Biosciences 283, pages 136-144.
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Jie Wang, Cui-Ping Cheng & Shuibo Huang. (2016) Evolution of dispersal in a spatially periodic integrodifference model. Nonlinear Analysis: Real World Applications 32, pages 10-34.
Crossref
Crossref
E. Braverman & Md. Kamrujjaman. (2016) Lotka systems with directed dispersal dynamics: Competition and influence of diffusion strategies. Mathematical Biosciences 279, pages 1-12.
Crossref
Crossref
E. Braverman & Md. Kamrujjaman. (2016) Competitive–cooperative models with various diffusion strategies. Computers & Mathematics with Applications 72:3, pages 653-662.
Crossref
Crossref
Henri Berestycki, Jérôme Coville & Hoang-Hung Vo. (2015) Persistence criteria for populations with non-local dispersion. Journal of Mathematical Biology 72:7, pages 1693-1745.
Crossref
Crossref
King-Yeung Lam & Daniel Munther. (2015) A remark on the global dynamics of competitive systems on ordered Banach spaces. Proceedings of the American Mathematical Society 144:3, pages 1153-1159.
Crossref
Crossref
Rana D. Parshad, Emmanuel Quansah, Kelly Black & Matthew Beauregard. (2016) Biological control via “ecological” damping: An approach that attenuates non-target effects. Mathematical Biosciences 273, pages 23-44.
Crossref
Crossref
E. Braverman, Md. Kamrujjaman & L. Korobenko. (2015) Competitive spatially distributed population dynamics models: Does diversity in diffusion strategies promote coexistence?. Mathematical Biosciences 264, pages 63-73.
Crossref
Crossref
Theodore E. Galanthay. (2015) Mathematical study of the effects of travel costs on optimal dispersal in a two-patch model. Discrete & Continuous Dynamical Systems - B 20:6, pages 1625-1638.
Crossref
Crossref
Chris Cosner & Michael Winkler. (2013) Well-posedness and qualitative properties of a dynamical model for the ideal free distribution. Journal of Mathematical Biology 69:6-7, pages 1343-1382.
Crossref
Crossref
L. Korobenko & E. Braverman. (2013) On evolutionary stability of carrying capacity driven dispersal in competition with regularly diffusing populations. Journal of Mathematical Biology 69:5, pages 1181-1206.
Crossref
Crossref
Yong-Jung Kim, Ohsang Kwon & Fang Li. (2013) Global asymptotic stability and the ideal free distribution in a starvation driven diffusion. Journal of Mathematical Biology 68:6, pages 1341-1370.
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King-Yeung Lam & Yuan Lou. (2013) Evolution of conditional dispersal: evolutionarily stable strategies in spatial models. Journal of Mathematical Biology 68:4, pages 851-877.
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King-Yeung Lam & Daniel Munther. (2014) Invading the ideal free distribution. Discrete & Continuous Dynamical Systems - B 19:10, pages 3219-3244.
Crossref
Crossref
Chris Cosner. (2014) Reaction-diffusion-advection models for the effects and evolution of dispersal. Discrete & Continuous Dynamical Systems - A 34:5, pages 1701-1745.
Crossref
Crossref
Yong-Jung Kim, Ohsang Kwon & Fang Li. (2013) Evolution of Dispersal Toward Fitness. Bulletin of Mathematical Biology 75:12, pages 2474-2498.
Crossref
Crossref
Robert Stephen Cantrell, Chris Cosner, Yuan Lou & Chao Xie. (2013) Random dispersal versus fitness-dependent dispersal. Journal of Differential Equations 254:7, pages 2905-2941.
Crossref
Crossref
Daniel Munther. (2013) The ideal free strategy with weak Allee effect. Journal of Differential Equations 254:4, pages 1728-1740.
Crossref
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Robert Stephen Cantrell, Chris Cosner & Yuan Lou. (2011) Evolutionary stability of ideal free dispersal strategies in patchy environments. Journal of Mathematical Biology 65:5, pages 943-965.
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Lee Altenberg. (2012) The evolution of dispersal in random environments and the principle of partial control. Ecological Monographs 82:3, pages 297-333.
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