## 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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### References:

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