一类无垂直传染SIR隔离控制模型的稳定性分析  

Analysis of Global Stability for a SIR Epidemic Isolate Control Model with No Vertical Transmission

作　　者：汪金燕[1] 

机构地区：[1]北方民族大学数学与信息科学学院,宁夏银川750021

出　　处：《生物数学学报》2013年第3期543-547,共5页Journal of Biomathematics

基　　金：国家自然科学基金(61261044)

摘　　要：研究一类无垂直传染SIR隔离控制模型.得到了地方病平衡点存在的阈值,当R_0<1时,存在唯一的无病平衡点且全局渐近稳定;当R_0>1时,存在两个平衡点,其中无病平衡点不稳定,地方病平衡点全局渐近稳定.This paper is concerned with a SIR epidemic isolate control model with no vertical transmission.The threshold of endemic equilibrium point is identified.Wheni R_0 1,there exists the only disease free equilibrium point,which is globally asymptotically stable,wheni R_0 1,there two equilibrium points,in which the disease free equilibrium point is unstable,and the only endemic equilibrium point is globally asymptotically stable.

关 键 词：传染病模型 隔离控制 无垂直传染 平衡点 稳定性 

分 类 号：O175.1[理学—数学]