Ju n 20 08 Existence , uniqueness and multiplicity of endemic states for an age-structured S – I epidemic model

Abstract

We study an S–I type epidemic model in an age-structured population, with mortality due to the disease. A threshold quantity R1 is found that controls the stability of the disease-free equilibrium, and guarantees the existence of an endemic equilibrium. Conditions on the age-dependence of the susceptibility to infection are obtained that imply the… (More)

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