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.
作者
郭金生
张生成
GUO Jinsheng ZHANG Shengcheng(School of Mathematics and Statistics, Hexi University, Zhangye 734000, Chin)
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)
关键词
传染病模型
平衡点
基本再生数
全局渐近稳定性
epidemic model
equilibrium point
the basic reproductive number
global asymptotic stability
