一类带有隔离项的传染病模型的定性分析  

Qualitative Analysis of an Epidemic Model with Quarantine Items

作　　者：董霖[1] 

机构地区：[1]福建师范大学数学与计算机科学学院,福建福州350007

出　　处：《福建师范大学学报（自然科学版）》2008年第5期27-31,共5页Journal of Fujian Normal University：Natural Science Edition

基　　金：福建省教育厅基金资助项目(JA05204);福建省科技厅(K类)基金资助项目(2005K027)

摘　　要：建立了一类具有常数移民及一般形式饱和接触率的SIQR传染病模型,分别研究了p+q=0,0<p+q<1,p+q=1三种情形下各平衡点的稳定性,证明了地方病平衡点的全局稳定性,推广和改进了Hethcote et al.(2002)的相应工作.Formulate a kind of epidemiological model with constant immigration and general saturated contact rate, and analyse the stability of the equilibria in the case of p ＋ q = 0, 0 〈 p ＋ q 〈 1 ,p ＋ q = 1 respectively. Finally, it is also found that the endemic equilibrium is globally asymptotically stable provided it exists. Some results which Hethcote et al. obtained in 2002 are not only extended but also improved.

关 键 词：传染病模型 隔离 移民 饱和传染率 全局渐近稳定 

分 类 号：O175.1[理学—数学] Q141[理学—基础数学]