一类具有连续接种免疫SEIRS模型的定性分析  

Qualitative analysis of an SEIRS model with vaccination

作　　者：赵汇涛[1] 卢梦霞[1] 

机构地区：[1]周口师范学院数学与信息科学系,河南周口466001

出　　处：《周口师范学院学报》2010年第2期16-19,26,共5页Journal of Zhoukou Normal University

基　　金：周口师范学院青年基金(No.ZKNUQN200908)

摘　　要：提出一类具有连续接种免疫的SEIRS流行病模型.讨论了其无病平衡点的稳定性,并利用Lssalle不变集原理讨论了无病平衡点的全局稳定性.利用分析方法讨论了其正平衡点的存在性及后向分支的存在性.In this paper, an SEIRS model with continuous vaccination was proposed. The stability of the disease-free equilibrium was discussed, and the global stability of the disease-free equilibrium was discussed with the Lasalle＇s invariance principle. Using analytical methods, the existence of the positive equilibrium was obtained. A bifurcation analysis was performed and conditions under which the system exhibits backward bifurcation were provided.

关 键 词：SEIRS模型 免疫接种 稳定性 后向分支 

分 类 号：O175.14[理学—数学]