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Pre-exposure prophylaxis HIV/AIDS mathematical model with non classical isolation

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Abstract

We propose a mathematical model to understand the transmission dynamics of HIV/AIDS in an environment. In addition to previous approaches, we incorporate two classes of isolated. By isolated we do not mean physical separation, but commitment to keep its status. We establish the well-posedness of our model and fully analyze the asymptotic behavior of the solutions which depends on the basic reproduction number \(R_{0}\). We then perform sensitive analysis to investigate the best strategy to keep the average number of secondary infection \(R_{0}\) low. Our investigation reveals that when there is both high awareness and high efficacy of PrEP (pre-exposure prophylaxis) use, increasing the efficacy of PrEP use decreases \(R_{0}\) the most. Otherwise, the best strategy is to isolated more susceptible to the class \(H_{1}\). Our model can be applied to any organizations/companies relying on physical labor forces (with some workers being infected by HIV/AIDS).

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Authors and Affiliations

  1. Department of Mathematics, Arba Minch University, PO Box 21, Arba Minch, Ethiopia

    P. M. Tchepmo Djomegni & Andualem Tekle

  2. School of Mathematical and Statistical Sciences, North West University, Private Bag X6001, Potchefstroom, South Africa

    P. M. Tchepmo Djomegni

  3. School of Mathematical and Statistical Sciences, Hawassa University, Awassa, Ethiopia

    Mohammed Y. Dawed

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  1. P. M. Tchepmo Djomegni
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  2. Andualem Tekle
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  3. Mohammed Y. Dawed
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Correspondence to P. M. Tchepmo Djomegni.

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Djomegni, P.M.T., Tekle, A. & Dawed, M.Y. Pre-exposure prophylaxis HIV/AIDS mathematical model with non classical isolation. Japan J. Indust. Appl. Math. 37, 781–801 (2020). https://doi.org/10.1007/s13160-020-00422-2

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  • DOI: https://doi.org/10.1007/s13160-020-00422-2

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