This article appraised analysis of homotopy perturation method (HPM) and it’s application for solving infectious disease models, we described basic concepts, assumptions of homotopy perturbation method and steps involve in using homotopy perturbation method for solving equations. We used homotopy perturbation method to solve nonlinear partial defferential equations with boundary conditions. The obtained results as compared with those in existing literature are very accurate. In particular, we also applied homotopy perturbation method to obtain a convergent series solution of HIV/AIDS model where the model is categorised into four compartments namely, Susceptible individuals (S), infected individuals not on drugs (I), infected individual on drugs (T), individuals infected with AIDS (A). It is discovered in this article, that homotopy perturbation method is accurate, flexible and can be used to solve numerous problems
Citation:Agbata, B.C., Shior, M.M., Olorunnishola, O.A., Ezugorie, I.G. & Obeng-Denteh, W.(2021) Analysis of Homotopy Perturbation Method (HPM) and its Application for Solving Infectious Disease Models, International Journal of Mathematics and Statistics Studies, Vol.9, No.4, pp.27-38
Keywords: convergent, homotopy perturbation method, infectious disease model, partial differential equation, series solution
