具有隔离项的SIQS传染病模型的全局稳定性  

GLOBAL STABILITY OF A SIQS EPIDEMIC MODEL WITH ISOLATION

作　　者：孙传成[1] 

机构地区：[1]南京理工大学,江苏南京210094

出　　处：《巢湖学院学报》2016年第3期6-9,共4页Journal of Chaohu University

摘　　要：文章介绍了一类具有隔离项的SIQS传染病模型,通过构造李雅普诺夫函数证明了无病平衡点全局稳定性,和地方病平衡点全局稳定的条件,为更好地说明其稳定性,文章做了一系列的仿真工作。This paper introduces a SIQS epidemic model with isolation. By constructing Lyapunov function, it has proved that the disease free equilibrium is globally stable, and the conditions for globally stable endemic equilibrium. To better explain the stability, the study has been conducted with a series of simulations.

关 键 词：无病平衡点 地方病平衡点 李亚普诺夫函数 全局稳定性 

分 类 号：O175[理学—数学]