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A model of HIV/AIDS with staged progression and amelioration. (English) Zbl 1008.92032
Summary: An epidemic model with multiple stages of infection is studied. The model allows for infected individuals to move from advanced stages of infection back to less advanced stages of infection. A threshold parameter which determines the local stability of the disease free equilibrium is found and interpreted. Under conditions on the parameters, global stability is demonstrated using techniques involving compound matrices.

MSC:
92D30 Epidemiology
34D20 Stability of solutions to ordinary differential equations
93C95 Application models in control theory
34C60 Qualitative investigation and simulation of ordinary differential equation models
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