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
收藏
页码：3623 / 3639
页数：17
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