Dynamics of a stage-structured predator-prey model with prey impulsively diffusing between two patches

被引：28

作者：

Jiao, Jianjun ^{[1
]}

Chen, Lansun ^{[2
]}

Cai, Shaohong ^{[1
]}

Wang, Limin ^{[3
]}

机构：

[1] Guizhou Coll Finance & Econ, Guizhou Key Lab Econ Syst Simulat, Sch Math & Stat, Guiyang 550004, Peoples R China

[2] Acad Sinica, Inst Math, Beijing 100080, Peoples R China

[3] Dalian Jiaotong Univ, Dept Math & Phys, Dalian 116028, Peoples R China

来源：

NONLINEAR ANALYSIS-REAL WORLD APPLICATIONS | 2010年 / 11卷 / 04期

基金：

中国国家自然科学基金;

关键词：

Predator-prey model; Impulsive diffusion; Permanent; Predator-extinction; GLOBAL STABILITY; TIME-DELAY; SYSTEM; PERTURBATIONS; PERSISTENCE; EXTINCTION; DISPERSAL; GROWTH; CHAOS;

D O I：

10.1016/j.nonrwa.2009.09.022

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this work, we propose a stage-structured predator-prey model, with prey impulsively diffusing between two patches. Using the discrete dynamical system determined by the stroboscopic map, we obtain a predator-extinction periodic solution. Further, the predator-extinction periodic solution is globally attractive. By the theory on the delay and impulsive differential equation, we prove that the investigated system is permanent. Our results indicate that the discrete time delay has influence to the dynamical behaviors of the investigated system. (C) 2009 Elsevier Ltd. All rights reserved.

引用

页码：2748 / 2756

页数：9

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