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Zbl 1008.92032
McCluskey, C.Connell
A model of HIV/AIDS with staged progression and amelioration. (English)
[J] Math. Biosci. 181, No.1, 1-16 (2003). ISSN 0025-5564

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 2000:
*92D30 Epidemiology
34D20 Lyapunov stability of ODE
93C95 Appl. of control theory
34C60 Applications of qualitative theory of ODE

Keywords: HIV/AIDS; multiple infectious stages; amelioration; compound matrices

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