A within-host virus model with multiple infected stages under time-varying environments

Xia Wang, Shengqiang Liu and Xinyu Song

Applied Mathematics and Computation, 2015, vol. 266, issue C, 119-134

Abstract: HIV-1 infection and treatment may occur in the non-constant environment due to the time-varying drug susceptibility and growth of target cells. In this paper, we propose a within-host virus model with multiple stages for infected cells under time-varying environments, to study how the multiple infected stages affect on the counts of viral load and CD4+-T cells. We establish the sufficient conditions for both persistent HIV infection and clearance of HIV infection based on two positive constants R*, R*. When the system is under persistent infection, we further obtained detailed estimates of both the lower and upper bounds of the viral load and the counts of CD4+-T cells. Furthermore, numerical simulations are carried out to verify our analytical results and demonstrate the combined effects of multiple infected stages and non-constant environments, and reflect that both persistence and clearance of infection are possible when R* < 1 < R* holds. In particular, the numerical results exhibit the viral load of system with multiple infected stages may be less than that with single infected stage, and simulate the effect of time-varying environment of the autonomous system with multiple infected stages. We expect that our theoretical and simulation results can provide guidance for clinical therapy for HIV infections.

Keywords: Time-varying; Multiple infected stages; Within-host virus model; Permanence and extinction; Viral load (search for similar items in EconPapers)
Date: 2015
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Persistent link: https://EconPapers.repec.org/RePEc:eee:apmaco:v:266:y:2015:i:c:p:119-134

DOI: 10.1016/j.amc.2015.05.033

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