一类具有脉冲免疫传染病模型SIVS的全局稳定性

Global Behaviour of an SIVS Epidemic Model with Impulsive Vaccine

讨论了一类具有脉冲免疫的媒介传播的SⅣS流行病模型.疾病的进程依赖感染年龄,时刻t传染率受时刻t-τ媒介种群的影响.模型存在一无病周期解.分析表明存在依赖于脉冲周期和脉冲免疫比例的基本再生数R_0(p,T),当R_0(p,T)<1时,无病周期解是全局稳定的.

An SIVS epidemic model for vector-transmission is formulated in this paper, where the model includes a pulse vaccination strategy, disease progress depends on infection age, and the force of infection at the present time depends on the number of infectives at the past because there will be a time delay when the infectious agents developed in the vector. The disease-free periodic solution of the system is obtained. The analytical results show that there is an impulsive period T and a vaccination proportion p such that Ro （p, T） 〈 1 in which the periodic solution is globally stable.