A stochastic model of the dynamics of HIV under a combination therapeutic intervention

VSS Yadavalli, MMO Labeodan, S Udayabaskaran, Y Mwanga

Abstract


Drug resistance to single therapeutic treatment in HIV infected individuals has promoted research into combined treatments. In this paper we propose a stochastic model under
combined therapeutic treatment by extending the model of HIV pathogenesis under treatment by anti-viral drugs given in [Perelson AS, Neumann AU, Markowits M, Leonard JM
& Ho DD, 1996, "HIV-1 dynamics in vivo virion clearance rate, infected cell life span, and viral generation time", Science New Series, 271, pp. 1582-1586]. Variance and co-variance structures of variables are obtainable via this approach in addition to the mean numbers of free HIV, infectious free HIV and non-infectious free HIV that were obtained by Perelson et al. Comparing simulated data for before and after treatment indicates the importance of combined treatment and its overall effect(s).

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DOI: https://doi.org/10.5784/25-1-69

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ISSN 2224-0004 (online); ISSN 0259-191X (print)

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