论文部分内容阅读
This article focuses on the study of an age structured SEIRS epidemic model with a vaccinationprogram when the total population size is not kept at constant.We first give the explicit expression of thereproduction number R(ψ,(?)) in the presence of vaccine ((?) is the exponent of growth of total population),andshow that the infection-free steady state is linearly stable if R(ψ,(?))<1 and unstable if R(ψ,(?))>1,then weapply the theoretical results to vaccination policies to determine the optimal age or ages at which an individualshould be vaccinated.It is shown that the optimal strategy can be either one- or two-age strategies.
This article focuses on the study of an age structured SEIRS epidemic model with a vaccination program when the total population size is not kept at constant. We first give the explicit expression of thereproduction number R (ψ, (?)) In the presence of vaccine (?) (?) is the exponent of growth of total population, and show that the infection-free steady state is linearly stable if R (ψ, (?)) <1 and unstable if R (ψ, (?))> 1, then weapply the theoretical results to vaccination policies to determine the optimal age or ages at which an individualshould be vaccinated. It is shown that the optimal strategy can be either one- or two-age strategies.