Analysis of an age-dependent SI epidemic model with disease-induced mortality and proportionate mixing assumption: the case of vertically transmitted diseases

M. El-Doma

Journal of Applied Mathematics, 2004, vol. 2004, 1-20

Abstract:

An SI epidemic model for a vertically as well as horizontally transmitted disease is investigated when the fertility, natural mortality, and disease-induced mortality rates depend on age and the force of infection corresponds to a special form of intercohort transmission called proportionate mixing. We determine the steady states and obtain explicitly computable threshold conditions, and then perform stability analysis.

Date: 2004
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jnljam:967468

DOI: 10.1155/S1110757X0430118X

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