一类带有确定隔离期的传染病模型的稳定性分析  

An Epidemic Model with Certain Period of Quarantine

作　　者：李建全[1] 杨友社[2] 

机构地区：[1]西安交通大学应用数学系,陕西西安710049 [2]空军工程大学电讯工程学院,陕西西安710077

出　　处：《空军工程大学学报（自然科学版）》2003年第3期83-86,共4页Journal of Air Force Engineering University(Natural Science Edition)

基　　金：国家自然科学基金资助项目(19971066)

摘　　要：讨论了一类带有确定隔离期的SIQS传染病模型,确定了各类平衡点存在的阈值条件,通过线性化和构造Liapunov泛函,得到了各类平衡点局部稳定和全局稳定的条件。An SIQS epidemic model with certain period of quarantine is discussed in this paper, the conditions and threshold to the existence of various equilibriums are established. By means of linearization and constructing Liapunov functional, the conditions about the locally asymptotic stability and the globally asymptotic stability are obtained.

关 键 词：传染病模型 阈值 平衡点 稳定性 

分 类 号：O175.1[理学—数学]