预防接种情况下潜伏期和染病期均具有传染力的SEIR传染病模型的全局分析  

Global Analysis of an SEIR Epidemic Model with Infectivity in both Latent Period and Infected Period under Vaccination

作　　者：郭金生[1] 梅凤娟 GUO Jinsheng MEI Fengjuan(School of Mathematics and Statistics, Hexi University, Zhangye734000, China Suolong Schools for Nine Years, Minxian 748400, China)

机构地区：[1]河西学院数学与统计学院,甘肃张掖734000 [2]定西市岷县锁龙九年制学校,甘肃岷县748400

出　　处：《贵州大学学报（自然科学版）》2016年第6期5-9,共5页Journal of Guizhou University:Natural Sciences

基　　金：河西学院校长基金(XZ2015-01);河西学院青年基金(QN2014-12)

摘　　要：讨论了一类在连续预防接种情况下具有垂直传染的潜伏期和染病期均有传染力的SEIR传染病模型,通过计算得到了基本再生数R0。当R0<1时,仅存在无病平衡点且全局渐近稳定;当R0>1时,除存在不稳定的无病平衡点外,还存在唯一的正地方病平衡点且全局渐近稳定。A kind of an epidemic model with vertical transmission and infectivity in both latent period and infected period under continuous vaccination was discussed. The basic reproductive number R0 was obtained through calculation. When R01,in the system there exists disease free equilibrium point,which is globally asymptotical stable; when,R01the unstable disease free equilibrium exits,and has a unique the positive endemic equilibrium,which is globally asymptotical stable.

关 键 词：传染病模型 基本再生数 垂直传染 预防接种 

分 类 号：O175[理学—数学]