An optimal control problem of malaria model with seasonality effect using real data

Fatmawati -, H. Tasman, U.D. Purwati, F.F. Herdicho, C.W. Chukwu

Abstract


In this study, we present a mathematical model of malaria transmission with a seasonality effect to describe the dynamics of the infection. In the absent seasonality effect, we prove the local stability of the malaria-free equilibrium point. The parameters of the model are fitted to the cumulative number of malaria cases of Papua province, Indonesia for the year 2018 and parameterized using the least-squares technique. The sensitivity analysis of the model to changes in the parameters is explored. Further, the malaria model with the seasonality effect via a periodic mosquito birth rate is investigated numerically. Finally, we formulate an optimal control problem with a control function and obtain the optimal control characterization. The optimal control problem is solved numerically, and the results comprised of a controls system for different strategies.

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Published: 2021-08-02

How to Cite this Article:

Fatmawati -, H. Tasman, U.D. Purwati, F.F. Herdicho, C.W. Chukwu, An optimal control problem of malaria model with seasonality effect using real data, Commun. Math. Biol. Neurosci., 2021 (2021), Article ID 66

Copyright © 2021 Fatmawati -, H. Tasman, U.D. Purwati, F.F. Herdicho, C.W. Chukwu. 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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