Selected Publications on biological models in heterogeneous/random environments
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)
(Pdf )
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)
(Pdf )
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, to appear
( 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),
to appear in 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