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author:

Zhang, Na (Zhang, Na.) [1] | Kao, Yonggui (Kao, Yonggui.) [2] | Chen, Fengde (Chen, Fengde.) [3] (Scholars:陈凤德) | Xie, Binfeng (Xie, Binfeng.) [4] | Li, Shiyu (Li, Shiyu.) [5]

Indexed by:

Scopus SCIE

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.

Keyword:

bionomic equilibrium non-selective harvesting permanence predator-prey stability

Community:

  • [ 1 ] [Zhang, Na]Harbin Inst Technol, Dept Math, Weihai 264209, Peoples R China
  • [ 2 ] [Kao, Yonggui]Harbin Inst Technol, Dept Math, Weihai 264209, Peoples R China
  • [ 3 ] [Zhang, Na]Jiangxi Univ Sci & Technol, Dept Math, Ganzhou 341000, Peoples R China
  • [ 4 ] [Xie, Binfeng]Jiangxi Univ Sci & Technol, Dept Math, Ganzhou 341000, Peoples R China
  • [ 5 ] [Li, Shiyu]Jiangxi Univ Sci & Technol, Dept Math, Ganzhou 341000, Peoples R China
  • [ 6 ] [Chen, Fengde]Fuzhou Univ, Coll Math & Comp Sci, Fuzhou 350116, Peoples R China

Reprint 's Address:

  • [Kao, Yonggui]Harbin Inst Technol, Dept Math, Weihai 264209, Peoples R China

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Source :

OPEN MATHEMATICS

ISSN: 2391-5455

Year: 2020

Volume: 18

Page: 458-475

0 . 9 6 3

JCR@2020

1 . 0 0 0

JCR@2023

ESI Discipline: MATHEMATICS;

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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