Predator-prey dynamics with delay when prey dispersing in n-patch environment

被引：2

作者：

Qiu, L ^{[1
]}

Mitsui, T ^{[1
]}

机构：

[1] Nagoya Univ, Grad Sch Human Informat, Nagoya, Aichi 4648601, Japan

来源：

JAPAN JOURNAL OF INDUSTRIAL AND APPLIED MATHEMATICS | 2003年 / 20卷 / 01期

关键词：

permanence; globally asymptotically stable; predator-prey dynamics; equilibrium; positive solution; GLOBAL STABILITY; POPULATION INTERACTIONS; 2-PATCH ENVIRONMENTS; MATHEMATICAL-MODELS; ASYMPTOTIC-BEHAVIOR; VOLTERRA MODELS; HABITATS; DIFFUSION; SYSTEMS; PERSISTENCE;

D O I：

10.1007/BF03167461

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

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.

引用

页码：37 / 49

页数：13

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