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Stability analysis and optimal control of a fractional human African trypanosomiasis model

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dc.contributor.author Bonyah E.
dc.contributor.author G�mez-Aguilar J.F.
dc.contributor.author Adu A.
dc.date.accessioned 2022-10-31T15:05:32Z
dc.date.available 2022-10-31T15:05:32Z
dc.date.issued 2018
dc.identifier.issn 9600779
dc.identifier.other 10.1016/j.chaos.2018.10.025
dc.identifier.uri http://41.74.91.244:8080/handle/123456789/462
dc.description Bonyah, E., Department of Mathematics Education, University of Education Winneba (Kumasi campus), Ghana; G�mez-Aguilar, J.F., CONACyT-Tecnol�gico Nacional de M�xico/CENIDET. Interior Internado Palmira S/N, Col. Palmira, C.P. 62490, Cuernavaca, Morelos, Mexico; Adu, A., Department of Mathematics, Kwame Nkrumah University of Science and Technology, Kumasi, Ghana en_US
dc.description.abstract Human African trypanosomiasis has been a major problem in sub-Saharan countries including Ghana. In this paper, a fractional human African trypanosomiasis model with fractional time dependent control is studied. The existence and uniqueness of the model were obtained. Collected data from Ghana were considered to fit the derived model. Fractional optimal control via Atangana�Baleanu derivative in Liouville�Caputo sense is used to determine the best strategy for minimizing the spread of human African trypanosomiasis. The numerical result shows that the combination of three controls is effective, however the combination of prevention and treatment can also offer a good strategy since the cost for implementing two controls is lower than three controls. � 2018 Elsevier Ltd en_US
dc.publisher Elsevier Ltd en_US
dc.subject Atangana�Baleanu derivative en_US
dc.subject Existence and uniqueness en_US
dc.subject Fractional calculus en_US
dc.subject Human African trypanosomiasis en_US
dc.subject Optimal control en_US
dc.title Stability analysis and optimal control of a fractional human African trypanosomiasis model en_US
dc.type Article en_US


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