Analysis of nonautonomous predator-prey model with nonlinear diffusion and time delay

In this paper, a nonautonomous predator-prey model with nonlinear diffusion and time delay due to gestation is investigated, where all parameters are time dependent. It is proved that the system is uniformly persistent under appropriate conditions. Sufficient conditions are derived for the global st...

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Bibliographic Details
Published in:Applied mathematics and computation 2008-02, Vol.196 (1), p.129-136
Main Authors: Zhou, Xueyong, Shi, Xiangyun, Song, Xinyu
Format: Article
Language:English
Subjects:
Exact sciences and technology
Global stability
Mathematical analysis
Mathematics
Nonautonomous predator-prey model
Nonlinear diffusion
Numerical analysis
Numerical analysis. Scientific computation
Sciences and techniques of general use
Time delay
Uniformly persistent
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Summary:In this paper, a nonautonomous predator-prey model with nonlinear diffusion and time delay due to gestation is investigated, where all parameters are time dependent. It is proved that the system is uniformly persistent under appropriate conditions. Sufficient conditions are derived for the global stability of the system by constructing a suitable Lyapunov functional.
ISSN:0096-3003
1873-5649
DOI:10.1016/j.amc.2007.05.041