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
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