An optimal control on the dynamics of wildebeest, zebra and lion prey predator interactions in Serengeti ecosystem

Raymond Charles, Oluwole Daniel Makinde, Monica Kung'aro

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.

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Published: 2022-06-20

How to Cite this Article:

Raymond Charles, Oluwole Daniel Makinde, Monica 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), Article ID 175

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.

 

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