Predator-prey dynamics with delay when prey dispersing inn-patch environment

被引:0
作者
Lin Qiu
Taketomo Mitsui
机构
[1] Nagoya University,Graduate School of Human Informatics
来源
Japan Journal of Industrial and Applied Mathematics | 2003年 / 20卷
关键词
permanence; globally asymptotically stable; predator-prey dynamics; equilibrium; positive solution;
D O I
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中图分类号
学科分类号
摘要
A model with time delay is considered for a predator-prey system. Here, a single species disperses between n patches of a heterogeneous environment with barriers between patches while a predator does not involve a barrier between patches. It is shown that the system is permanent under some appropriate conditions, and sufficient conditions are established for the global asymptotic stability of the positive equilibrium of the system.
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