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;
D O I：
暂无
中图分类号：
学科分类号：
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.
引用
收藏
相关论文
共 50 条
12345