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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.
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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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