On a predator-prey system interaction under fluctuating water level with nonselective harvesting-Reference-Cited by-同舟云学术

On a predator-prey system interaction under fluctuating water level with nonselective harvesting

Published:2020-01-01 Issue:1 Volume:18 Page:458-475
ISSN:2391-5455
Container-title:Open Mathematics
language:en
Short-container-title:

Author:

Zhang Na¹²,Kao Yonggui¹,Chen Fengde³,Xie Binfeng²,Li Shiyu²

Affiliation:

1. Department of Mathematics , Harbin Institute of Technology , Weihai 264209 , P. R. China

2. Department of Mathematics , Jiangxi University of Science and Technology , Ganzhou 341000 , P. R. China

3. College of Mathematics and Computer Science, Fuzhou University , Fuzhou 350116 , P. R. China

Abstract

Abstract A predator-prey model interaction under fluctuating water level with non-selective harvesting is proposed and studied in this paper. Sufficient conditions for the permanence of two populations and the extinction of predator population are provided. The non-negative equilibrium points are given, and their stability is studied by using the Jacobian matrix. By constructing a suitable Lyapunov function, sufficient conditions that ensure the global stability of the positive equilibrium are obtained. The bionomic equilibrium and the optimal harvesting policy are also presented. Numerical simulations are carried out to show the feasibility of the main results.

Publisher

Walter de Gruyter GmbH

Subject

General Mathematics

Link

https://www.degruyter.com/document/doi/10.1515/math-2020-0145/pdf

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