Nonlinear Analysis of the HIV/AIDS Control Pandemic Model within a Heterogeneous PopulationJournal: International Research Journal of Advanced Engineering and Science (IRJAES) (Vol.3, No. 4)
Publication Date: 2018-12-20
Authors : Omale David William Atokolo;
Page : 43-48
Keywords : Homotopy Perturbation Method; Non-Linear; Differential Equation.;
In this paper, the Homotopy Perturbation Method (HPM) is used to solve the system of non-linear deterministic models on the control of HIV/AIDS using the therapeutic dose within a heterogeneous population. A homotopy is constructed with an embedding parameter 0,1 which is considered as a small parameter. The HPM deforms a difficult problem into a more simple problem which can be easily solved. The HPM is implemented with appropriate initial condition. The approximate analytical solutions obtained are uniformly valid not only for small parameters but also good for a very large parameters. The method gets solution for nonlinear models without any discretization linearization or any restrictive assumptions.
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