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

Reference22 articles.

1. Sze Bi Hsu and Tzy-Wei Huang, Global stability for a class of predator-prey systems, SIAM J. Appl. Math. 55 (1995), no. 3, 763–783, 10.1016/j.cam.2004.10.001.

2. Fengde Chen, On a nonlinear nonautonomous predator-prey model with diffusion and distributed delay, J. Comput. Appl. Math. 180 (2005), no. 1, 33–49, 10.1016/j.cam.2004.10.001.

3. Liujuan Chen, Fengde Chen, and Yiqin Wang, Influence of predator mutual interference and prey refuge on Lotka-Volterra predator-prey dynamics, Commun. Nonlinear Sci. Numer. Simul. 18 (2013), no. 11, 3174–3180, 10.1016/j.cnsns.2013.04.004.

4. A. Moussaoui and S. M. Bouguima, A prey-predator interaction under fluctuating level water, Math. Methods Appl. Sci. 38 (2015), no. 1, 123–137, 10.1002/mma.3055.

5. Jinhuang Chen and Runxin Wu, A commensal symbiosis model with non-monotonic functional response, Commun. Math. Biol. Neurosci. 2017 (2017), 5.

Cited by 5 articles. 订阅此论文施引文献订阅此论文施引文献，注册后可以免费订阅5篇论文的施引文献，订阅后可以查看论文全部施引文献

1. Dynamic Analysis of Multi-factor Influence on a Holling Type II Predator–Prey Model;Qualitative Theory of Dynamical Systems;2022-09-17

2. Bifurcation and chaos in a discrete predator-prey system of Leslie type with Michaelis-Menten prey harvesting;Open Mathematics;2022-01-01

3. Influence of fear effect on a Holling type III prey-predator system with the prey refuge;AIMS Mathematics;2022

4. Influence of the Fear Effect on a Holling Type II Prey–Predator System with a Michaelis–Menten Type Harvesting;International Journal of Bifurcation and Chaos;2021-11

5. Impact of the fear and Allee effect on a Holling type II prey–predator model;Advances in Difference Equations;2021-10-19