The dynamical behavior of a predator-prey system with Gompertz growth function and impulsive dispersal of prey between two patches

被引：11

作者：

Zhang, Long ^{[1
]}

Tenga, Zhidong ^{[1
]}

机构：

[1] Xinjiang Univ, Coll Math & Syst Sci, Urumqi 830046, Xinjiang, Peoples R China

来源：

MATHEMATICAL METHODS IN THE APPLIED SCIENCES | 2016年 / 39卷 / 13期

关键词：

predator-prey model; impulsive dispersal; predator-extinction periodic solution; global attractivity; permanence; GLOBAL STABILITY; METAPOPULATION DYNAMICS; POPULATION INTERACTIONS; TIME-DELAY; MODELS; DIFFUSION; ENVIRONMENT; PERMANENCE;

D O I：

10.1002/mma.3806

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we investigate a predator-prey model with Gompertz growth function and impulsive dispersal of prey between two patches. Using the dynamical properties of single-species model with impulsive dispersal in two patches and comparison principle of impulsive differential equations, necessary and sufficient criteria on global attractivity of predator-extinction periodic solution and permanence are established. Finally, a numerical example is given to illustrate the theoretical results. Copyright (C) 2015 John Wiley & Sons, Ltd.

引用

页码：3623 / 3639

页数：17

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