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Stability analysis for a general age-dependent vaccination model. (English) Zbl 0894.92027

Summary: An SIR epidemic model of a general age-dependent vaccination model is investigated when the fertility, mortality and removal rates depend on age. We give threshold criteria for the existence of equilibriums and perform stability analysis. Furthermore, a critical vaccination coverage that is sufficient to eradicate the disease is determined.

MSC:

92D30 Epidemiology
45K05 Integro-partial differential equations
45M10 Stability theory for integral equations
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References:

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