On a delayed nonautonomous ratio-dependent predator-prey model with Holling type functional response and diffusion

被引：22

作者：

Chen, Fengde ^{[1
]}

Shi, Jinlin ^{[1
]}

机构：

[1] Fuzhou Univ, Coll Math & Comp Sci, Fuzhou 350002, Peoples R China

来源：

APPLIED MATHEMATICS AND COMPUTATION | 2007年 / 192卷 / 02期

基金：

中国国家自然科学基金;

关键词：

nonautonomous; diffusion; delay; predator-prey; permanence; Holling type functional response;

D O I：

10.1016/j.amc.2007.03.012

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

A two-species periodic ratio-dependent predator-prey model with Holling type functional response and diffusion is investigated. Three different sets of sufficient conditions (one set is diffusive independent and the other two sets are diffusive dependent) which ensure the permanence of the system and a set of sufficient condition which ensure the extinction of the predator species are obtained. Examples together with their numeric simulations show the feasibility of the main results. (C) 2007 Elsevier Inc. All rights reserved.

引用

页码：358 / 369

页数：12

共 35 条

[1] Global analyses in some delayed ratio-dependent predator-prey systems [J].

Beretta, E ;

Kuang, Y .

NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 1998, 32 (03) :381-408

[2] Dynamic behavior of a nonlinear single species diffusive system [J].

Chen, FD ;

Chen, XX ;

Shi, JL .

ADVANCES IN COMPLEX SYSTEMS, 2005, 8 (04) :399-417

[3] On a periodic multi-species ecological model [J].

Chen, FD .

APPLIED MATHEMATICS AND COMPUTATION, 2005, 171 (01) :492-510

[4] On a nonlinear nonautonomous predator-prey model with diffusion and distributed delay [J].

Chen, FD .

JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS, 2005, 180 (01) :33-49

[5] Periodicity in a logistic type system with several delays [J].

Chen, FD ;

Shi, JL .

COMPUTERS & MATHEMATICS WITH APPLICATIONS, 2004, 48 (1-2) :35-44

[6]

CHEN FD, 2005, J APPL MATH, P153

[7]

Chen Fengde, 2003, Acta Scientiarum Naturalium Universitatis Pekinensis, V39, P22

[8] Periodicity and stability of a nonlinear periodic integro-differential prey-competition model with infinite delays [J].

Chen, Fengde ;

Xie, Xiangdong .

COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION, 2007, 12 (06) :876-885

[9] Note on the permanence of a competitive system with infinite delay and feedback controls [J].

Chen, Fengde ;

Li, Zhong ;

Huang, Yunjin .

NONLINEAR ANALYSIS-REAL WORLD APPLICATIONS, 2007, 8 (02) :680-687

[10] Some new results on the permanence and extinction of nonautonomous Gilpin-Ayala type competition model with delays [J].

Chen, Fengde .

NONLINEAR ANALYSIS-REAL WORLD APPLICATIONS, 2006, 7 (05) :1205-1222

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