Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
471751 | Computers & Mathematics with Applications | 2014 | 15 Pages |
Abstract
In this paper, we study a modified Leslie–Gower predator–prey model with Crowley–Martin functional response and spatial diffusion under homogeneous Neumann boundary condition, and obtain some important qualitative properties, including the existence of the global positive solution, the dissipation and persistence of the two species, the local and global asymptotic stability of the constant equilibria, and Hopf bifurcation around the interior constant equilibrium. In addition, we establish the existence and nonexistence of nonconstant positive steady states.
Related Topics
Physical Sciences and Engineering
Computer Science
Computer Science (General)
Authors
Hongwei Yin, Xiaoyong Xiao, Xiaoqing Wen, Kai Liu,