摘要
建立和研究一类具有垂直传染的SEIA传染病模型,得到模型基本再生数R_(0)的表达式,运用Lyapunov函数和第二加性复合矩阵理论证明了当R_(0)〈1时无病平衡点全局渐近稳定,当R_(0)〉1时地方病平衡点全局渐近稳定.
An SEIA epidemic model with vertical transmission is formulated and studied in this paper.The explicit expression of the basic reproduction number is obtained,by using the Lyapunov function method and the geometric method,the globally asymptotical stabilities of disease-free and endemic equilibria are proved under certain conditions.
出处
《数学的实践与认识》
CSCD
北大核心
2012年第10期205-210,共6页
Mathematics in Practice and Theory
基金
河南省自然科学基金(112300410238
112300410058)
