Dynamic analysis of a reaction-diffusion impulsive hybrid system

被引：10

作者：

Liu, He ^{[1
,2
]}

Yu, Hengguo ^{[3
]}

Dai, Chuanjun ^{[1
,3
]}

Wang, Qi ^{[1
,3
]}

Li, Jianbing ^{[2
]}

Agarwal, Ravi P. ^{[4
]}

Zhao, Min ^{[1
,3
]}

机构：

[1] Wenzhou Univ, Sch Life & Environm Sci, Wenzhou 325035, Zhejiang, Peoples R China

[2] Univ Northern British Columbia, Environm Engn Program, Prince George, BC V2N 4Z9, Canada

[3] Wenzhou Univ, Key Lab Subtrop Oceans & Lakes Environm & Biol Re, Wenzhou 325035, Zhejiang, Peoples R China

[4] Texas A&M Univ, Dept Math, Kingsville, TX 78363 USA

来源：

NONLINEAR ANALYSIS-HYBRID SYSTEMS | 2019年 / 33卷

基金：

中国国家自然科学基金;

关键词：

Crowley-Martin functional response; Reaction-diffusion equation; Permanence; Periodic solution; Impulsive effect; PREDATOR-PREY MODEL; ECOLOGICAL MODEL; GLOBAL DYNAMICS; BEHAVIOR;

D O I：

10.1016/j.nahs.2019.03.001

中图分类号：

TP [自动化技术、计算机技术];

学科分类号：

0812 ;

摘要：

In this paper, a predator-prey system with Crowley-Martin functional response, which is described by a couple of reaction-diffusion equations with impulsive, is studied analytically and numerically. The aim of this research is to analyze how the impulsive effect influences dynamics of the system. Dynamics of the system, including the ultimate boundedness, permanence and extinction, are investigated firstly under impulsive effects. Significantly, it is found that there exists a unique positive periodic solution that is globally asymptotically stable when impulsive effects reach some critical state. Additionally, a series of numerical simulations are carried out to further study the dynamics of the system, which are consistent with the analytical results. (C) 2019 Published by Elsevier Ltd.

引用

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页码：353 / 370

页数：18

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