摘要
通过对一类具有交叉传染的流行病接种模型进行分析,借助李雅普诺夫函数和Krasnoselskii技巧,得到结论:若该模型仅存在无病平衡点,则无病平衡点是全局渐近稳定的;若该模型有地方病平衡点存在,则无病平衡点是不稳定的,而正平衡点是渐近稳定的。
An epidemic model with vaccination and cross infection is discussed in the paper, by means of lypunov function and krasnoselskii trick, the following results are obtained: if there exists only the diseasefree equilibrium, then it is globally asymptotically stable; if there exists the endemic equilibrium, then the diseasefree equilibrium is unstable, the endemic equilibrium is locally asymptotically stable.
出处
《工程数学学报》
CSCD
北大核心
2003年第4期7-12,共6页
Chinese Journal of Engineering Mathematics
基金
国家自然科学基金资助项目(19971066).
