Stability analysis of discrete-time multi-patch Beddington–DeAngelis type predator-prey model with time-varying delay

被引：0
|
作者：
Jiqiang Feng
Zhiqiang Zhao
机构：
[1] Shenzhen University,Shenzhen Key Laboratory of Advanced Machine Learning and Application, College of Mathematics and Statistics
[2] Harbin Institute of Technology (Weihai),Department of Mathematics
来源：
Advances in Difference Equations | / 2019卷
关键词：
Beddington–DeAngelis type predator-prey model; Time-varying delay; Nonstandard finite difference scheme; Multiple patch with multiple dispersal; Lyapunov–Krasovskii method;
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摘要：
This paper is concerned with the stability of a discrete-time multi-patch Beddington–DeAngelis type predator-prey model with time-varying delay, where the dispersal of both predators and prey is considered. A nonstandard finite difference scheme is used to discretize this model. Then, combining the Lyapunov–Krasovskii method with the graph-theoretical technique, a stability criterion is derived, which is closely related to the dispersal topology. And an example with numerical simulation is given to demonstrate the effectiveness of the obtained results.
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