Dynamic behaviors of a Lotka-Volterra predator-prey model incorporating a prey refuge and predator mutual interference - Details

author：

Ma, Zhaozhi (Ma, Zhaozhi.) ^[1] | Chen, Fengde (Chen, Fengde.) ^[2] | Wu, Chengqiang (Wu, Chengqiang.) ^[3] | Chen, Wanlin (Chen, Wanlin.) ^[4] Unfold

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Abstract：

A　Lotka-Volterra　predator-prey　model　incorporating　a　prey　refuge　and　mutual　interference　of　predator　species　is　considered　in　this　paper.　By　developing　some　new　analysis　technique,　we　are　able　to　show　that　the　two　boundary　equilibria　are　both　saddle　points　and　the　interior　equilibrium　is　globally　asymptotically　stable.　Those　results　implicate　that　in　the　Lotka-Volterra　predator-prey　system,　the　stabilizing　effect　of　the　mutual　interference　of　predator　species　dominate　the　destabilizing　effects　of　prey　refuge.　©　2013　Elsevier　Inc.　All　rights　reserved.

Keyword：

Convergence of numerical methods Ecology Predator prey systems

Community：

[ 1 ] [Ma, Zhaozhi]College of Mathematics and Computer Science, Fuzhou University, Fuzhou, Fujian 350002, China
[ 2 ] [Chen, Fengde]College of Mathematics and Computer Science, Fuzhou University, Fuzhou, Fujian 350002, China
[ 3 ] [Wu, Chengqiang]College of Mathematics and Computer Science, Fuzhou University, Fuzhou, Fujian 350002, China
[ 4 ] [Chen, Wanlin]College of Mathematics and Computer Science, Fuzhou University, Fuzhou, Fujian 350002, China

Reprint 's Address：

Email：

fdchen@fzu.edu.cn

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Source ：

Applied Mathematics and Computation

ISSN： 0096-3003

Year： 2013

Issue： 15

Volume： 219

Page： 7945-7953

1 . 6

JCR@2013

3 . 5 0 0

JCR@2023

JCR Journal Grade：1

CAS Journal Grade：2

Cited Count：

WoS CC Cited Count：

SCOPUS Cited Count： 61

WanFang Cited Count：

Chinese Cited Count：

30 Days PV： 0

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