Global stability of an age-structured sir epidemic model with pulse vaccination strategy
2012
This paper discusses the application of a pulse vaccination strategy to prevent and control some infectious diseases, which is described by age-structured SIR model in which susceptible and recovered individuals are structured by chronological age, while infected individuals are structured by infection age (duration since infection). The time dependent disease-free equilibrium is determined, for which an explicit expression exists. The analytical results show that there exists a globally stable infection-free situation if the impulsive period T and proportion p satisfy R 0(p, T) < 1. Optimal problem is discussed: Pulse vaccination strategy with minimal costs at given R 0(p, T) < 1.
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