Global asymptotical stability of the positive equilibrium of the Lotka-Volterra prey-predator model incorporating a constant number of prey refuges - Details

author：

Chen, Fengde (Chen, Fengde.) ^[1] | Ma, Zhaozhi (Ma, Zhaozhi.) ^[2] | Zhang, Huiying (Zhang, Huiying.) ^[3]

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Abstract：

We　investigate　the　stability　property　of　the　positive　equilibrium　for　Lotka-Volterra　predator-prey　systems　incorporating　a　constant　number　of　prey　refuges.　By　constructing　a　suitable　Lyapunov　function,　a　set　of　sufficient　conditions　which　ensure　the　global　asymptotical　stability　of　the　positive　equilibrium　is　obtained.　Our　result　complements　and　supplements　some　known　ones.　©　2012　Elsevier　Ltd.　All　rights　reserved.

Keyword：

Ecosystems Lyapunov functions Predator prey systems

Community：

[ 1 ] [Chen, Fengde]College of Mathematics and Computer Science, Fuzhou University, Fuzhou, Fujian 350002, China
[ 2 ] [Ma, Zhaozhi]College of Mathematics and Computer Science, Fuzhou University, Fuzhou, Fujian 350002, China
[ 3 ] [Zhang, Huiying]College of Mathematics and Computer Science, Fuzhou University, Fuzhou, Fujian 350002, China

Reprint 's Address：

Email：

fdchen@263.net

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Related Keywords：

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Source ：

Nonlinear Analysis: Real World Applications

ISSN： 1468-1218

Year： 2012

Issue： 6

Volume： 13

Page： 2790-2793

2 . 2 0 1

JCR@2012

1 . 8 0 0

JCR@2023

JCR Journal Grade：1

CAS Journal Grade：1

Cited Count：

WoS CC Cited Count： 0

SCOPUS Cited Count： 53

ESI Highly Cited Papers on the List： 0 Unfold All

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Chinese Cited Count：

30 Days PV： 1

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