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

Ebenezer Bonyah, J.F. Gómez-Aguilar and Augustina Adu

Chaos, Solitons & Fractals, 2018, vol. 117, issue C, 150-160

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.

Keywords: Human African trypanosomiasis; Optimal control; Existence and uniqueness; Fractional calculus; Atangana–Baleanu derivative (search for similar items in EconPapers)
Date: 2018
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Citations: View citations in EconPapers (6)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:chsofr:v:117:y:2018:i:c:p:150-160

DOI: 10.1016/j.chaos.2018.10.025

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