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Discretization Fractional-Order Biological Model with Optimal Harvesting.
- Source :
-
Abstract & Applied Analysis . 5/28/2022, p1-10. 10p. - Publication Year :
- 2022
-
Abstract
- In this paper, a discretization of a three-dimensional fractional-order prey-predator model has been investigated with Holling type III functional response. All its fixed points are determined; also, their local stability is investigated. We extend the discretized system to an optimal control problem to get the optimal harvesting amount. For this, the discrete-time Pontryagin's maximum principle is used. Finally, numerical simulation results are given to confirm the theoretical outputs as well as to solve the optimality problem. [ABSTRACT FROM AUTHOR]
- Subjects :
- *PONTRYAGIN'S minimum principle
*BIOLOGICAL models
*PROBLEM solving
Subjects
Details
- Language :
- English
- ISSN :
- 10853375
- Database :
- Academic Search Index
- Journal :
- Abstract & Applied Analysis
- Publication Type :
- Academic Journal
- Accession number :
- 157119334
- Full Text :
- https://doi.org/10.1155/2022/8171037