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被引量：1

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

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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.

作者郭金生梅凤娟 GUO Jinsheng MEI Fengjuan(School of Mathematics and Statistics, Hexi University, Zhangye734000, China Suolong Schools for Nine Years, Minxian 748400, China)

机构地区河西学院数学与统计学院定西市岷县锁龙九年制学校

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)

关键词传染病模型基本再生数垂直传染预防接种 epidemic model the basic reproductive number vertical transmission continuous vaccination

分类号 O175 [理学—基础数学]

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参考文献3

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