具有时滞与饱和发生率的脉冲接种模型的研究  

Study on a pulse vaccination model with delay and saturation incidence

作　　者：卢金梅[1] 

机构地区：[1]郑州轻工业学院数学与信息科学系,河南郑州450002

出　　处：《郑州轻工业学院学报（自然科学版）》2012年第4期94-97,共4页Journal of Zhengzhou University of Light Industry:Natural Science

基　　金：河南省科技计划项目(112300410156);郑州轻工业学院青年科研基金项目(2010XJJ019)

摘　　要：研究了一类具有时滞与饱和发生率的SIR脉冲接种模型,利用频闪映射得到了模型的无病周期解,进而利用比较原理给出了无病周期解全局稳定的条件及疾病控制的最大接种周期τmax,当接种周期τ<τmax时,理论上疾病可以被根除.该脉冲接种模型相比较传统的接种模型,所需成本更低,且更加有效.A delay SIR pulse vaccination model with saturation incidence was studied. The periodic infec- tion-free solution of the epidemic model by using stroboscopic map was obtained. Further, using floquet the- orem and comparison theorem it was proved that the periodic infection-free solution was globally attractive under appreciation conditions. In order to eradicate the disease by pulse vaccination, the maximum vaccina- tion period max was shown. Theoretical results showed that pulse vaccination was more effective than con- ventional strategies in leading to disease eradication at relatively low values of vaccination.

关 键 词：饱和发生率 时滞 脉冲接种模型 传染病控制预防策略 

分 类 号：O175.13[理学—数学]