{"title":"Modelling the Spread of HIV/AIDS in India Focusing Commercial Sex Worker","authors":"Kazi A. Rahman","doi":"10.7763/ijmo.2023.v13.830","DOIUrl":null,"url":null,"abstract":" 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 R 0 and numerical simulation that determines whether the diseases dies out or the disease remains endemic.","PeriodicalId":134487,"journal":{"name":"International Journal of Modeling and Optimization","volume":"84 6 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"2023-08-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"International Journal of Modeling and Optimization","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.7763/ijmo.2023.v13.830","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
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Abstract
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 R 0 and numerical simulation that determines whether the diseases dies out or the disease remains endemic.
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