A Mathematical Model of Risk Factors in HIV/AIDS Transmission Dynamics: Observational Study of Female Sexual Network in India

Authors

S. Saravanakumar, Department of Mathematics, Sri Ramakrishna Institute of Technology, Coimbatore, IndiaFollow
A. Eswari, Department of Mathematics, Agricultural Engineering College and Research Institute, Tamil Nadu Agricultural University, Coimbatore, IndiaFollow
L. Rajendran, Department of Mathematics, AMET (Deemed to be University), Tamil Nadu, IndiaFollow
Marwan Abukhaled, Department of Mathematics and Statistics, American University of Sharjah, Sharjah, UAEFollow

Author Country (or Countries)

UAE

Abstract

In this paper, a mathematical model for the transmission dynamics of HIV/AIDS epidemic with emphasis on the role of female sex workers is considered. The model is a system of nine nonlinear differential equations that represent nine different groups of an HIV population. A modified approach of the homotopy perturbation method is used to derive an approximate analytical expression for each of the nine different groups that form HIV population. The analytical results are shown to be consistent with the numerical results obtained by the highly accurate fourth-order Runge-Kutta method. The analytical solution will simplify studying the effect of each parameter on the governing equation and identifying the dynamics of HIV prevalence. Thus, effective prevention strategies can be adopted.

Digital Object Identifier (DOI)

http://dx.doi.org/10.18576/amis/140603

Recommended Citation

Saravanakumar, S.; Eswari, A.; Rajendran, L.; and Abukhaled, Marwan (2020) "A Mathematical Model of Risk Factors in HIV/AIDS Transmission Dynamics: Observational Study of Female Sexual Network in India," Applied Mathematics & Information Sciences: Vol. 14: Iss. 6, Article 3.
DOI: http://dx.doi.org/10.18576/amis/140603
Available at: https://digitalcommons.aaru.edu.jo/amis/vol14/iss6/3