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An SI epidemic model for a vertically as well as horizontallytransmitted disease is investigated when the fertility, naturalmortality, and disease-induced mortality rates depend on age andthe force of infection corresponds to a special form ofintercohort transmission called proportionate mixing. Wedetermine the steady states and obtain explicitly computablethreshold conditions, and then perform stability analysis

journal of applied mathematics

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