On a nonlinear nonautonomous predator-prey model with diffusion and distributed delay

JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS

卷:180

Article

Chen, FD

关键词: nonlinear;    nonautonomous;    predator-prey;    continuous distributed delay;    almost periodic solution;    diffusion;    globally asymptotic stability;   

DOI  :  10.1016/j.cam.2004.10.001

来源: Elsevier

【 摘 要 】

In this paper, a nonlinear nonautonomous predator-prey model with diffusion and continuous distributed delay is studied, where all the parameters are time-dependent. The system, which is composed of two patches, has two species: the prey can diffuse between two patches, but the predator is confined to one patch. We first discuss the uniform persistence and global asymptotic stability of the model; after that, by constructing a suitable Lyapunov functional, some sufficient conditions for the existence of a unique almost periodic solution of the system are obtained. An example shows the feasibility of our main results. (c) 2004 Elsevier B.V. All rights reserved.

【 授权许可】

Free