Global stability of Leslie-Gower Predator-prey Model with Density Dependent Birth Rate on Prey Species and Prey Refuge-Reference-Cited by-同舟云学术

Global stability of Leslie-Gower Predator-prey Model with Density Dependent Birth Rate on Prey Species and Prey Refuge

Published:2023-02-28 Issue: Volume:22 Page:41-48
ISSN:2224-2678
Container-title:WSEAS TRANSACTIONS ON SYSTEMS
language:en
Short-container-title:

Author:

Chen Fengde¹,Lin Sijia¹,Chen Shangming ,¹,Chong Yanbo¹

Affiliation:

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

Abstract

A Leslie-Gower predator prey model with density dependent birth rate on prey species and prey refuge is proposed and studied in this paper. Sufficient condition which ensure the global stable of the positive equilibrium is obtained. Our study indicates density dependent birth rate of prey species has negative effect on the final density of both prey and predator species. Density dependent birth rate may lead to the Allee effect of prey species and enhance the extinction chance of the species. Numeric simulations are carried out to show the feasibility of the main results.

Publisher

World Scientific and Engineering Academy and Society (WSEAS)

Subject

Computer Science Applications,Control and Systems Engineering

Reference40 articles.

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3. Chen F. D., Wang H. N., Lin Y. H. , Chen W. L., Global stability of a stage-structured predatorprey system, Appl. Math. Comput., Vol. 223, No.1, 2013, pp. 45-53.

4. Chen F., Ma Z., Zhang H., Global asymptotical stability of the positive equilibrium of the LotkaVolterra prey-predator model incorporating a constant number of prey refuges, Nonlinear Analysis: Real World Applications, Vol.13, No. 6, 2012, pp. 2790-2793.

5. Chen F., Chen L., Xie X., On a Leslie-Gower predator-prey model incorporating a prey refuge, Nonlinear Analysis: Real World Applications, Vol.10, No.5, 2009, pp. 2905-2908.

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