Manuscript received March 1, 2023; revised May 2; accepted July 23, 2023; published August 23, 2023.
Abstract—According to the major reports of the WHO, it has
been observed that the female sex workers play an important
role in transmission of the HIV/AIDS in India. In this work, we
formulate and investigate a nine-dimensional nonlinear model
to study the dynamics of HIV/AIDS epidemic considering the
female sex workers as one of the most vulnerable groups in
transmission of the HIV/AIDS in India. The model which
assumes mass action incidence, is analyzed qualitatively to
determine the stability of their equilibria. In addition, analysis
of these models includes the presentation of the threshold, the
basic reproduction number R0 and numerical simulation that
determines whether the diseases dies out or the disease remains
endemic.
Index Terms—Basic reproduction number, female sex worker,
HIV/AIDS, stability
Kazi A. Rahman, Department of Mathematical, Computing, &
Information Sciences (MCIS), Jacksonville State University, Jacksonville,
AL 36265 USA. E-mail: krahman@jsu.edu (K.A.R.)
Cite: Kazi A. Rahman, "Modelling the Spread of HIV/AIDS in India Focusing Commercial Sex Worker," International Journal of Modeling and Optimization vol. 13, no. 3, pp. 81-88, 2023.
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