Note on the Stability Property of a Cooperative System Incorporating Harvesting-Reference-Cited by-同舟云学术

Note on the Stability Property of a Cooperative System Incorporating Harvesting

Published:2014 Issue: Volume:2014 Page:1-5
ISSN:1026-0226
Container-title:Discrete Dynamics in Nature and Society
language:en
Short-container-title:Discrete Dynamics in Nature and Society

Author:

Xie Xiangdong¹,Chen Fengde¹^ORCID,Xue Yalong²

Affiliation:

1. Department of Mathematics, Ningde Normal University, Ningde, Fujian 352100, China

2. College of Mathematics and Computer Science, Fuzhou University, Fuzhou, Fujian 350108, China

Abstract

The stability of a kind of cooperative model incorporating harvesting is revisited in this paper. By using an iterative method, the global attractivity of the interior equilibrium point of the system is investigated. We show that the condition which ensures the existence of a unique positive equilibrium is enough to ensure the global attractivity of the positive equilibrium. Our results significantly improve the corresponding results of Wei and Li (2013).

Funder

Natural Science Foundation of Fujian Province

Publisher

Hindawi Limited

Subject

Modelling and Simulation

Link

http://downloads.hindawi.com/journals/ddns/2014/327823.pdf

Reference11 articles.

1. Permanence and Globally Asymptotic Stability of Cooperative System Incorporating Harvesting

2. Positive periodic solutions for an integrodifferential model of mutualism

3. Permanence for an integrodifferential model of mutualism

4. The dynamic behavior of N-species cooperation system with continuous time delays and feedback controls

5. Permanence of a discrete N-species cooperation system with time delays and feedback controls

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