Existence, uniqueness and stability of positive periodic solution for a nonlinear prey-competition model with delays - Details

author：

Chen, F. (Chen, F..) ^[1] | Xie, X. (Xie, X..) ^[2] | Shi, J. (Shi, J..) ^[3]

Indexed by：

Scopus

Abstract：

A　nonlinear　periodic　predator-prey　model　with　m-preys　and　(　n　-　m　)-predators　and　delays　is　proposed　in　this　paper,　which　can　be　seen　as　the　modification　of　the　traditional　Lotka-Volterra　prey-competition　model.　Sufficient　conditions　which　guarantee　the　existence　of　a　unique　globally　attractive　positive　periodic　solution　of　the　system　are　obtained.　©　2005　Elsevier　B.V.　All　rights　reserved.

Keyword：

Global asymptotic; Lyapunov functional; Periodic solution; Prey-competition

Community：

[ 1 ] [Chen, F.]College of Mathematics and Computer Science, Fuzhou University, Fuzhou, Fujian 350002, China
[ 2 ] [Xie, X.]Department of Mathematics, Ningde Teachers College, Ningde, Fujian 352100, China
[ 3 ] [Shi, J.]College of Mathematics and Computer Science, Fuzhou University, Fuzhou, Fujian 350002, China

Reprint 's Address：

[Chen, F.]College of Mathematics and Computer Science, Fuzhou University, Fuzhou, Fujian 350002, China

Email：

fdchen@fzu.edu.cn

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Source ：

Journal of Computational and Applied Mathematics

ISSN： 0377-0427

Year： 2006

Issue： 2

Volume： 194

Page： 368-387

0 . 7 5 9

JCR@2006

2 . 1 0 0

JCR@2023

JCR Journal Grade：2

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SCOPUS Cited Count： 29

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