کد مقاله | کد نشریه | سال انتشار | مقاله انگلیسی | نسخه تمام متن |
---|---|---|---|---|
4626510 | 1631788 | 2015 | 16 صفحه PDF | دانلود رایگان |
• We propose a within-host virus model with multiple infected stages under time-varying environments.
• We establish the sufficient conditions for both persistent HIV infection and clearance of HIV infection.
• We extend the results for the related within-host model with single infected stage.
• We generalize the works for corresponding autonomous within-host system with multiple infected stages.
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.
Journal: Applied Mathematics and Computation - Volume 266, 1 September 2015, Pages 119–134