Global dynamics of an age-structured model for HIV viral dynamics with latently infected T cells. (English) Zbl 1540.92079
Summary: This study focuses on an age-structured population model which describes the in host dynamics of HIV/AIDS. This model also considers the proportion of latently infected CD4+ T cells by HIV. After the formulation of the model, we derive steady-state solutions of the model. By constructing an appropriate Lyapunov function, we check the stability of infection-free steady-state. We show that if reproduction number \(R_0\) is less than 1, then the infection-free equilibrium is stable. We also study the role of anti-retroviral therapy to slow down the process of HIV in the human body. We consider our model with anti-retroviral therapy and again check the global stability of the infection-free steady state for better comparison. We also solve our model numerically to study the primary spread of HIV virus.
MSC:
| 92C60 | Medical epidemiology |
| 92-10 | Mathematical modeling or simulation for problems pertaining to biology |
Keywords:
age-structured population model; HIV/AIDS model; Lyapunov function; antiretroviral treatmentReferences:
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