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Demographic change and persistence of HIV/AIDS in a heterogeneous population. (English) Zbl 0739.92014
A simple model of the transmission of the HIV virus is proposed. The basic epidemiological classes are the juveniles, non-core and core adults. The birth and death rates of the adults are taken into account. Mathematical analysis is provided with epidemiological implications. Thresholds for the persistence of the disease are derived. Two diverse notions of the disease persistence are shown to exist. The global behaviour of the solution is obtained. This model can provide guidelines for the appropriate time scales and parameters that need to be considered in simulation studies.

MSC:
92D30 Epidemiology
34D05 Asymptotic properties of solutions to ordinary differential equations
92D25 Population dynamics (general)
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