Selected Publications on nonlocal evolution equations
Criteria for the Existence of Principal Eigenvalues of Time Periodic Nonlocal Dispersal Operators
and Applications (with Nar Rawal), submitted ,
( Abstract)
Positive Stationary Solutions and Spreading Speeds of KPP Equations
in Locally Spatially Inhomogeneous Media (with Liang Kong)
Traveling Wave Solutions of Spatially Periodic Nonlocal Monostable Equations
(with Aijun Zhang)
Evolution of Mixed Dispersal in Periodic Environments (with Chiu-Yen Kao and Yuan Lou),
Discrete and Continuous Dynamical Systems, Series B , to appear
( 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,
to appear ( Abstract)
Stationary Solutions and Spreading Speeds of Nonlocal Monostable Equations
in Space Periodic Habitats (with Aijun Zhang), Proc. Amer. Math. Soc., to appear
( 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.