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author:

Zhang, N. (Zhang, N..) [1] | Kao, Y. (Kao, Y..) [3] | Chen, F. (Chen, F..) [4] | Xie, B. (Xie, B..) [5] | Li, S. (Li, S..) [6]

Indexed by:

Scopus

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. © 2020 Na Zhang et al., published by De Gruyter 2020.

Keyword:

bionomic equilibrium; non-selective harvesting; permanence; predator-prey; stability

Community:

  • [ 1 ] [Zhang, N.]Department of Mathematics, Harbin Institute of Technology, Weihai, 264209, China
  • [ 2 ] [Zhang, N.]Department of Mathematics, Jiangxi University of Science and Technology, Ganzhou, 341000, China
  • [ 3 ] [Kao, Y.]Department of Mathematics, Harbin Institute of Technology, Weihai, 264209, China
  • [ 4 ] [Chen, F.]College of Mathematics and Computer Science, Fuzhou University, Fuzhou, 350116, China
  • [ 5 ] [Xie, B.]Department of Mathematics, Jiangxi University of Science and Technology, Ganzhou, 341000, China
  • [ 6 ] [Li, S.]Department of Mathematics, Jiangxi University of Science and Technology, Ganzhou, 341000, China

Reprint 's Address:

  • [Kao, Y.]Department of Mathematics, Harbin Institute of TechnologyChina

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Source :

Open Mathematics

ISSN: 2391-5455

Year: 2020

Issue: 1

Volume: 18

Page: 458-475

0 . 9 6 3

JCR@2020

1 . 0 0 0

JCR@2023

ESI HC Threshold:50

JCR Journal Grade:3

CAS Journal Grade:3

Cited Count:

WoS CC Cited Count: 0

SCOPUS Cited Count: 6

ESI Highly Cited Papers on the List: 0 Unfold All

WanFang Cited Count:

Chinese Cited Count:

30 Days PV: 0

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