Selected Publications on biological models in heterogeneous/random environments

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Long time behavior of random and nonautonomous Fisher-KPP equations. Part II. Transition fronts (with Rachidi B. Salako) (Pdf )

Long time behavior of random and nonautonomous Fisher-KPP equations. Part I. Stability of equilibria and spreading speeds (with Rachidi B. Salako) (Pdf )

Effects of localized spatial variations on the uniform persistence and spreading speeds of time periodic two species competition systems (with Liang Kong and Tung Nguyen) (Pdf )

Spreading speeds and traveling waves for space-time periodic nonlocal dispersal cooperative systems (with Xiongxiong Bao and Zhongwei Shen, Commun. Pure Appl. Anal. 18 (2019), no. 1, 361-396)

Spreading speeds and linear determinacy of time dependent diffusive cooperative/competitive systems (with Xiongxiong Bao, Wan-Tong Li, and Zhi-Cheng Wang, J. Differential Equations 265 (2018), no. 7, 3048-3091)

Spreading Speeds and Linear Determinacy for Two Species Competition Systems with Nonlocal Dispersal in Periodic Habitats (with Liang Kong and Nar Rawal) (Pdf )

Characterization of Turing Diffusion-Driven Instability on Evolving Domains (with {Georg Hetzer and Anotida Madzvamuse), Discrete and Continuous Dynamical Systems, 32 (2012), 3975-4000. ( Abstract)

Evolution of Mixed Dispersal in Periodic Environments (with Chiu-Yen Kao and Yuan Lou), Discrete and Continuous Dynamical Systems, Series B , 17 (2012), 2047-2072. ( Abstract)

Coexistence and Extinction in the Volterra-Lotka Competition Model with Nonlocal Dispersal (with Georg Hezter and Tung Nguyen), Communications on Pure and Applied Analysis, 11 (2012), 1699-1722. ( Abstract)

Effects of Spatial Variations and Dispersal Strategies on Principal Eigenvalues of Dispersal Operators and Spreading Speeds of Monostable Equations (with Georg Hetzer and Aijun Zhang), Rocky Mountain Journal of Mathematics, ( Abstract)

Effects of Small Spatial Variation of the Reproduction Rate in a Two Species Competition Model (with Georg Hetzer and Tung Nguyen), Electric Journal of Differential Equations 2010 (2010), No. 160, 1-16.

Random Dispersal vs Non-Local Dispersal (with Chiu-Yen Kao and Yuan Lou), Discrete and Continuous Dynamical Systems, 26 (2010), 551-596

Carrying Simplices in Nonautonomous and Random Competitive Kolmogorov Systems (with Y. Wang), Journal of Differential Equations , 245 (2008), 1-29

Uniform Persistence for Nonautonomous/Random Parabolic Kolmogorov Systems (with J. Mierczynski and X.-Q. Zhao), Journal of Differential Equations , 204 (2004), 471-510

Lyapunov Exponents and Asymptotic Dynamics in Random Kolmogorov Models (with J. Mierczynski), Journal of Evolution Equations , 4 (2004), 371-390

Two Species Competition with an Inhibitor Involved (with G. hetzer), Discrete and Continuous Dynamical Systems, 12 (2005), 39-57

Uniform Persistence, Coexistence, and Extinction in Almost Periodic/Nonautonomous Competition Diffusion Systems (with G. Hetzer), SIAM J. Math. Anal., 34 (2002), 204-227

Asymptotic Behavior of Positive Solutions of Random and Stochastic Parabolic Equations of Fisher and Kolmogorov Types (with G. Hetzer and S. Zhu), Journal of Dynamics and Differential Equations, 14 (2002), 139-188

Convergence in Almost Periodic Competition Diffusion Systems (with G. Hetzer), Journal of Mathematical Analysis and Applications, 262 (2001), 307-338

Convergence in Almost Periodic Fisher and Kolmogorov Models (with Y. Yi), J. Math. Biol., 37 (1998), 84-102