Abstract

APPROXIMATE SERIES SOLUTION OF EBOLA VIRUS DISEASE MODEL USING HOMOTOPY ANALYSIS METHOD

Chinwendu E. Madubueze1 and Remigius Okeke Aja2*

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Ebola virus disease (EVD) is a deadly disease that has become a global concern, especially in the Sub-Saharan Africa where the disease is endemic. In this paper, a nonlinear deterministic model of EVD with control measures is proposed. The existence of disease-free equilibrium of EVD model was established. Furthermore, the effective reproduction number that governs the spread of the disease was computed and its threshold property discussed. A non-perturbation methods used to get series solution to nonlinear problems, homotopy analysis method (HAM) was applied to the EVD model. The result demonstrates the series solution of EVD model and the convergence region of applying HAM. Keywords: Ebola virus disease, homotopy analysis method, effective reproduction number, disease-free equilibrium, endemic equilibrium.

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