# Multi-step Homotopy Analysis Method for Solving Malaria Model

• Peter Olumuyiwa University of Ilorin, Nigeria
• Adebisi Ajimot Folasade Department of Mathematical Sciences,Osun state University, Oshogbo, Osun State, Nigeria
• Oguntolu Festus Abiodun Department of Mathematics, Federal University of Technology, Minna, PMB 65, Minna, Nigeria
• Bitrus Sambo Department of Mathematics, Gombe State University, PMB 127, Gombe, Nigeria
• Akpan Collins Emmanuel Department of Computer Science, Obong University, PMB 25, Obong Ntak Akwa Ibom State, Nigeria.

### Abstract

In this paper, we consider the modified epidemiological malaria model proposed by Abadi and Harald. The multi-step homotopy analysis method (MHAM) is employed to compute an approximation to the solution of the model of fractional order. The fractional derivatives are described in the Caputo sense. We illustrated the profiles of the solutions of each of the compartments. Figurative comparisons between the MHAM and the classical fourth-order reveal that this method is very effective

### Author Biography

Peter Olumuyiwa, University of Ilorin, Nigeria
Department of Mathematics Ph.D

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Published
2018-12-30
How to Cite
Olumuyiwa, P., Ajimot Folasade, A., Festus Abiodun, O., Sambo, B., & Collins Emmanuel, A. (2018). Multi-step Homotopy Analysis Method for Solving Malaria Model. Malaysian Journal of Applied Sciences, 3(2), 34-45. Retrieved from https://journal.unisza.edu.my/myjas/index.php/myjas/article/view/140
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Section
Research Articles