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On a predator-prey system interaction under fluctuating water level with nonselective harvesting
- Source :
- Open Mathematics, Vol 18, Iss 1, Pp 458-475 (2020)
- Publication Year :
- 2020
- Publisher :
- De Gruyter, 2020.
-
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.
Details
- Language :
- English
- ISSN :
- 23915455 and 20200145
- Volume :
- 18
- Issue :
- 1
- Database :
- Directory of Open Access Journals
- Journal :
- Open Mathematics
- Publication Type :
- Academic Journal
- Accession number :
- edsdoj.56386f5a0d24874ae9b34085b295e67
- Document Type :
- article
- Full Text :
- https://doi.org/10.1515/math-2020-0145