摘要
讨论了一类垂直传染SIQR传染病模型,得到了疾病灭绝的阈值条件R*01.当R*01≤1时,无病平衡点E0是全局渐近稳定的;当R*01>1时,无病平衡点E0是不稳定的;当R*0=min{R*01,R*02,1}时,地方病平衡点E1和E2是全局渐近稳定的.
In this paper, a kind of SQIR epidemic model with vertical transmission is investigated. The threshold value of determining spread of disease or not is obtained. When R01＊≤1, disease - free E0 equilibrium is globally and asymptotically stable. When R01＊ 〉 1, the disease - free equilibrium Eo is unstable. When R01＊=min{R01＊,R02＊,1} , the endemic equilibrium E1 and E2 are locally and asymptotically stable.
出处
《重庆文理学院学报（社会科学版）》
2014年第2期30-32,35,共4页
Journal of Chongqing University of Arts and Sciences（Social Sciences Edition)
基金
国家自然科学基金资助项目(11061017)
