Nonlinear incidence human immunodeficiency virus infection model with optimal control. (English) Zbl 1439.92005
Summary: Mathematical modeling plays a crucial role in understanding the dynamics of Human immunodeficiency virus (HIV) disease. Most models deal with the vertical and horizontal spread of disease, but few studies have focused on the evolutionary dynamics of HIV at the cellular level. In this paper, we present an HIV model to analyze the dynamics of HIV infection at the cellular level to produce more natural results. We present a detailed stability analysis of disease-free and viral-persistence equilibrium in the system. In addition, sensitivity analysis and optimal control strategies are used to analyze the role of antiretroviral drug therapy and dietary supplements in controlling the concentration of infected cells and viruses.
MSC:
| 92-10 | Mathematical modeling or simulation for problems pertaining to biology |
| 92C60 | Medical epidemiology |
| 49N90 | Applications of optimal control and differential games |
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