Dynamics of Mutualism-Competition-Predator System with Beddington-DeAngelis Functional Responses and Impulsive Perturbations-Reference-Cited by-同舟云学术

Dynamics of Mutualism-Competition-Predator System with Beddington-DeAngelis Functional Responses and Impulsive Perturbations

Published:2012 Issue: Volume:2012 Page:1-33
ISSN:1085-3375
Container-title:Abstract and Applied Analysis
language:en
Short-container-title:Abstract and Applied Analysis

Author:

Fan Xiaoming¹,Wang Zhigang¹²,Jiang Fuquan³

Affiliation:

1. School of Mathematics Science, Harbin Normal University, Harbin 150500, China

2. School of Mathematics and Statistics, Northeast Normal University, Changchun 130024, China

3. Foundation Department, Harbin Finance University, Harbin 150030, China

Abstract

We explore the dynamics of a class of mutualism-competition-predator interaction models with Beddington-DeAngelis functional responses and impulsive perturbations. Sufficient conditions for existence of positive periodic solution are established by using a continuation theorem in coincidence degree theory, which have been extensively applied in studying existence problems in differential equations and difference equations. In addition, sufficient criteria are given for the global stability and the globally exponential stability of system by employing comparison principle and Lyapunov method.

Funder

Project of Science and Technology of Heilongjiang Province of China

Publisher

Hindawi Limited

Subject

Applied Mathematics,Analysis

Link

http://downloads.hindawi.com/journals/aaa/2012/963486.pdf

Reference28 articles.

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2. Existence of multiple positive periodic solutions for functional differential equations

3. Multiple limit cycles in predator-prey models

4. Coexistence properties of some predator-prey systems under constant rate harvesting and stocking

5. Existence of periodic solutions in predator–prey and competition dynamic systems

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