Optimal Control of a Bioeconomic Model for a Two-Stage Species with Recruitment

Authors

Lilia M. Ladino, Department of Mathematics and Physics, University of Los Llanos, 2621 Villavicencio, ColombiaFollow
Edison I. Sabogal, Department of Mathematics and Physics, University of Los Llanos, 2621 Villavicencio, ColombiaFollow
Jose C. Valverde, Department of Mathematics, University of Castilla-La Mancha, 02071 Albacete, SpainFollow

Author Country (or Countries)

Spain

Abstract

In this work, the capture effort exerted on the adult population (or exploitable population) of a two-stage species with recruitment is considered as a control parameter to investigate the optimal exploitation of the resource, sustainability properties of the population and rent earned from the resource. Pontryagin’s maximum principle is used to characterize the optimal control. The optimal control is derived and then solved numerically using an iterative method with Euler scheme. Simulation results show that the optimal control scheme allows us to get the sustainability of the ecosystem and to validate the model.

Recommended Citation

M. Ladino, Lilia; I. Sabogal, Edison; and C. Valverde, Jose (2023) "Optimal Control of a Bioeconomic Model for a Two-Stage Species with Recruitment," Applied Mathematics & Information Sciences: Vol. 09: Iss. 5, Article 32.
Available at: https://digitalcommons.aaru.edu.jo/amis/vol09/iss5/32