Selected Publications on nonlocal evolution equations
Non-local dispersal equations with almost periodic dependence. II. Asymptotic dynamics of Fisher-KPP equations
(with Maria Amarakristi Onyido) (Pdf )
Nonlocal dispersal equations with almost periodic dependence. I.
Principal spectral theory (with Maria Amarakristi Onyido)
(Pdf )
Persistence and Extinction of Nonlocal Dispersal Evolution Equations in Moving Habitats
(with Patrick De Leenheer and Aijun Zhang) (Pdf )
Persistence and time periodic positive solutions of doubly nonlocal Fisher-KPP equations
in time periodic and space heterogeneous media (with Jianping Gao and Shangjiang Guo)
(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 )
Stability of transition waves and positive entire solutions of Fisher-KPP equations with time and space dependence
( Pdf )
Criteria for the Existence of Principal Eigenvalues of Time Periodic Cooperative Linear Systems with Nonlocal Dispersal
(with Xiongxiong Bao) ( Pdf )
Spectral theory for nonlocal dispersal operators with time
periodic indefinite weight functions and applications
(with Xiaoxia Xie) ( Pdf )
Traveling Wave Solutions of Lotka-Volterra Competition Systems with Nonlocal Dispersal in Periodic Habitats
(with Xiongxiong Bao and Wan-Tong Li, J. Differential Equations 260 (2016), no. 12, 8590–8637)
(Pdf)
Transition fronts in nonlocal Fisher-KPP equations in time heterogeneous media
(with Zhongwei Shen, Commun. Pure Appl. Anal. 15 (2016), no. 4, 1193–1213) ( Pdf )
Existence, uniqueness and stability of transition fronts of nonlocal equations in time heterogeneous bistable media
(with Zhongwei Shen) ( Pdf )
Regularity of transition fronts in nonlocal dispersal evolution equations
(with Zhongwei Shen) ( Pdf )
Regularity and stability of transition fronts in nonlocal equations with time heterogeneous ignition nonlinearity
(with Zhongwei Shen) ( Pdf )
Transition fronts in nonlocal equations with time heterogeneous ignition nonlinearity (with Zhongwei Shen)
( Pdf )
Spreading Speeds and Linear Determinacy for Two Species Competition Systems with Nonlocal Dispersal in Periodic Habitats
(with Liang Kong and Nar Rawal) (Pdf )
Approximations of Random Dispersal Operators/Equations by Nonlocal Dispersal Operators/Equations
(with Xiaoxia Xia)) (Pdf )
Spreading Speeds and Traveling Waves of Nonlocal Monostable Equations
in Time and Space Periodic Habitats (with Nar Rawal and Aijun Zhang)
( Pdf)
On Principal Spectrum Points/Principal Eigenvalues of Nonlocal Dispersal
Operators and Applications (with Xiaoxia Xie) (Pdf )
Liouville Type Property and Spreading Speeds of KPP Equations
in Periodic Media with Localized Spatial Inhomogeneity
(with Liang Kong) (Pdf )
Criteria for the Existence and Lower Bounds of Principal Eigenvalues of Time Periodic Nonlocal Dispersal
Operators and Applications (with Nar Rawal), Journal of Dynamics and Differential Equations ,
24 (2012), 927-954.
( Abstract)
Positive Stationary Solutions and Spreading Speeds of KPP Equations
in Locally Spatially Inhomogeneous Media (with Liang Kong) Methods and Applications of Analysis ,
18 (2011), 427-456
( Pdf )
Traveling Wave Solutions of Spatially Periodic Nonlocal Monostable Equations
(with Aijun Zhang) Communications on Applied Nonlinear Analysis ,
19 (2012), 73-101 ( Pdf)
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 Hetzer and Tung Nguyen), Communications on Pure and Applied Analysis, 11 (2012), 1699-1722
( Abstract)
Stationary Solutions and Spreading Speeds of Nonlocal Monostable Equations
in Space Periodic Habitats (with Aijun Zhang), Proc. Amer. Math. Soc., 140 (2012), 1681-1696
( 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),
The Rocky Mountain Journal of Mathematics, to appear
( Abstract)
Spreading Speeds for Monostable Equations
with Nonlocal Dispersal in Space Periodic Habitats (with Aijun Zhang),
Journal of Differential Equations,
249 (2010), 747-795.
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
Spectral theory for nonlocal dispersal with periodic or almost-periodic time
dependence (with V. Hutson and G. T. Vickers), Rocky Mountain Journal of Mathematics ,
38 (2008), 1147-1175.
Spectral Theory for General Nonautonomous/Random Dispersal Evolution Operators
(with G.T. Vickers), J. Differential Equations ,
235 (2007), 262--297.