具有连续预防接种和非线性传染率的SEIR传染病模型的稳定性分析  

Stability Analysis of An SEIR Epidemic Model with Continuous Vaccination and Nonlinear Incidence Rate

作　　者：王寿斌[1] 雒志学[1] 王丽敏[1] 

机构地区：[1]兰州交通大学数学系,甘肃兰州730070

出　　处：《宁夏大学学报（自然科学版）》2015年第4期302-305,共4页Journal of Ningxia University(Natural Science Edition)

基　　金：国家自然科学基金资助项目(11061017)

摘　　要：讨论具有连续预防接种和非线性传染率的SEIR传染病模型.证明了当基本再生数R0≤1时,无病平衡点是全局渐近稳定的,疾病灭绝;当基本再生数R0>1时,唯一的地方病平衡点是局部渐近稳定的,疾病会持续存在.An SEIR epidemic model with nonlinear incidence rate and continuous vaccination is discussed.If the basic reproduction number is less than one,the disease free equilibrium which is globally asymptotically stable,and the disease dies out eventually.If the basic reproduction number is greater than one,there exists also an unique endemic equilibrium,which is locally asymptotically stable,and the disease is uniformly persistent.

关 键 词：传染病模型 非线性传染率 稳定性 持续性 

分 类 号：O175[理学—数学]