科研之友
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摘要
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.
