Dynamic Behaviors of a Commensalism Model Incorporating Nonselective Harvesting in a Partial Closure

Author:

Zhu Qun1,Lin Shijia1,Wu Runxin2,Chen Fengde1

Affiliation:

1. College of Mathematics and Statistics Fuzhou University No. 2, wulongjiang Avenue, Minhou County, Fuzhou CHINA

2. College of Mathematics and Physics, Fujian University of Technology, Fuzhou, Fujian, 350014, CHINA

Abstract

A commensalism model incorporating nonselective harvesting in a partial closure is proposed and studied in this paper. Local and global stability properties of the equilibria are investigated, respectively. Our study shows that depending on the fraction of the stock available for harvesting, the system may be extinct, partial survival, or two species coexist in a stable state. Numeric simulations are carried out to show the feasibility of the main results.

Publisher

World Scientific and Engineering Academy and Society (WSEAS)

Subject

General Mathematics

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