一类具有非线性发生率的传染病模型的全局稳定性  

Global Stability of a Special Epidemic Model with Nonlinear Incidence

作　　者：徐芳[1] 栗永安[1] 祝占法[1] 

机构地区：[1]兰州交通大学数理软件与工程学院,甘肃兰州730070

出　　处：《兰州交通大学学报》2008年第6期151-153,共3页Journal of Lanzhou Jiaotong University

摘　　要：研究了一类具有非线性传染率的SEIQR流行病传播数学模型,得到了基本再生数.证明了无病平衡点和地方病平衡点的存在性及全局渐近稳定性,结果表明适当地增大隔离强度有利于预防与控制疾病的蔓延.A kind of nonlinear incidence SEIQR epidemic mathematical model is studied. The basic reproducrive number is obtained. The existence and global asymptotieal stability of the disease--free equilibrium and the endemic equilibrium are proved. The conclusions indicate that a proper increase of segregation intension benefits the inefficient spread of disease.

关 键 词：传染病模型 非线性发生率 全局渐近稳定 

分 类 号：O151.21[理学—数学]