An Optimal Control Policy for A Discrete Model with Holling-Tanner Functional Response

Authors

  • Sadiq Al-Nassir Department of Mathematics, College of Science, University of Baghdad

DOI:

https://doi.org/10.26713/cma.v9i2.783

Keywords:

Holling-Tanner functional response, Local stability, Discrete optimal control

Abstract

A two dimensional discrete time prey-predator model with Holling-Tanner functional response is considered. The local behavior of all its equilibria are investigated. An optimal control problem with this model is proposed, which aims to increase the number of the prey density to prevent the risk of extinction. The Pontryagin's maximum principle for discrete system is applied to achieve the optimality. The necessary conditions and the characterization for the optimal solutions of this system is derived. Finally, we present some numerical simulations to support the theoretical conclusions.

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Published

30-06-2018
CITATION

How to Cite

Al-Nassir, S. (2018). An Optimal Control Policy for A Discrete Model with Holling-Tanner Functional Response. Communications in Mathematics and Applications, 9(2), 197–206. https://doi.org/10.26713/cma.v9i2.783

Issue

Vol. 9 No. 2 (2018)

Section

Research Article

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