一类具有垂直传染的非线性发生率的SIS传染病模型的稳定性分析  

The Stability Analysis of a Type of SIS Model with Vertical Transmission Rate

作　　者：郭金生[1] 张生成[1] GUO Jinsheng ZHANG Shengcheng(School of Mathematics and Statistics, Hexi University, Zhangye 734000, Chin)

机构地区：[1]河西学院数学与统计学院,甘肃张掖734000

出　　处：《贵州大学学报（自然科学版）》2017年第3期6-9,共4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：讨论了一类具有垂直传染的非线性发生率的SIS传染病模型,得到了阈值R_0。并讨论了当R_0≤1时,无病平衡点是全局渐近稳定的,而当R_0>1时,地方病平衡点是全局渐近稳定的。An SIS epidemic model with vertical transmission and nonlinear incidence rate was discussed,and the basic reproduction number R_0 was given. When R_0≤1,the system exists disease free equilibrium which is globally asymptotical stable; when R_01,the system has a unique positive endemic equilibrium which is part asymptotical stable.

关 键 词：传染病模型 平衡点 基本再生数 全局渐近稳定性 

分 类 号：O175[理学—数学]