An optimal control on the dynamics of wildebeest, zebra and lion prey predator interactions in Serengeti ecosystem
Abstract
In this paper we present an application of optimal control theory to assess the effectiveness of control measures of the dynamics of wildebeest, zebra and lion prey-predator system of Serengeti ecosystem. This is done by proposing control variables such as education (for retaliatory killing), construction of dams (for drought) and treatment (for infections). The main goal is to maximize the population density. For this aim, the Pontryagin’s maximum principle has been applied. The optimal control is characterized in terms of optimality system and solved numerically for several scenarios. Results shows that multiple optimal control measures is the most effective strategy in management of wildlife populations.
Copyright © 2022 Raymond Charles, Oluwole Daniel Makinde, Monica Kung'aro. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
Cite this article
R. Charles, O. D. Makinde, M. Kung'aro, An optimal control on the dynamics of wildebeest, zebra and lion prey predator interactions in Serengeti ecosystem, J. Math. Comput. Sci. 12 (2022), 175. https://doi.org/10.28919/jmcs/7453
BibTeX
@article{Charles2022,
author = {Charles, Raymond and Makinde, Oluwole Daniel and Kung'aro, Monica},
title = {An optimal control on the dynamics of wildebeest, zebra and lion prey predator interactions in Serengeti ecosystem},
journal = {J. Math. Comput. Sci.},
volume = {12},
year = {2022},
pages = {175},
doi = {10.28919/jmcs/7453}
}