Mathematical modeling of the effect
of screening for unaware HIV/AIDS-infected
patients using homotopy perturbation method

Introduction:
In this paper, we analyzed the study of a mathematical model of non-linear differential equation on the effect of HIV/AIDS disease among unaware HIV/AIDS-infected population.

Material and methods:
Population was divided into four categories, including HIV-negative individuals, unaware HIV-positive cases, aware HIV-positive, and AIDS patients. The model was investigated numerically and analytically using fourth-order Runge-Kutta approach and homotopy perturbation method (HPM).

Results:
We have discussed the parameter variation graphically.

Conclusions:
Determining the dynamics of HIV prevalence and investigating the effect of each parameter on the governing equation can be simple with analytical solution.

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