doi: 10.7763/IJMO.2023.V13.830
Modelling the Spread of HIV/AIDS in India Focusing Commercial Sex Worker
Kazi A. Rahman
- Department of Mathematical, Computing, & Information Sciences (MCIS), Jacksonville State University, Jacksonville, AL 36265 USA.
- Manuscript received March 1, 2023
- revised May 2, 2023
- accepted July 23, 2023
- published August 23, 2023
Abstract
According to the major reports of the WHO, it hasbeen observed that the female sex workers play an importantrole in transmission of the HIV/AIDS in India. In this work, weformulate and investigate a nine-dimensional nonlinear modelto study the dynamics of HIV/AIDS epidemic considering thefemale sex workers as one of the most vulnerable groups intransmission of the HIV/AIDS in India. The model whichassumes mass action incidence, is analyzed qualitatively todetermine the stability of their equilibria. In addition, analysisof these models includes the presentation of the threshold, thebasic reproduction number R0 and numerical simulation thatdetermines whether the diseases dies out or the disease remainsendemic.
Keywords
- Basic reproduction number
- female sex worker
- HIV/AIDS
- stability
How to 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. https://doi.org/ 10.7763/IJMO.2023.V13.830
Copyright & License
Copyright © 2023 by the authors. This is an open access article distributed under the Creative Commons Attribution License which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited (CC BY 4.0).