一类具有非线性接触率的SEIR传染病模型  

A Class of SEIR Epidemic Model with Nonlinear Contact Rate

作　　者：李冬梅[1] 徐亚静[1] 韩春晶 

机构地区：[1]哈尔滨理工大学应用科学学院,黑龙江哈尔滨150080

出　　处：《哈尔滨理工大学学报》2015年第2期115-120,共6页Journal of Harbin University of Science and Technology

基　　金：黑龙江省自然科学基金(A200502);黑龙江省教育厅科学技术研究项目(12521099)

摘　　要：考虑了染病者的非线性接触率及潜伏者存在因素的影响,建立了一类SEIR传染病模型.利用Lasalle不变性原理,自治收敛定理证明了无病平衡点及地方病平衡点的全局渐近稳定性,给出了模型分支存在充分条件,并通过数值模拟验证了结论的正确性.Considering the infection of the nonlinear contact rate and latent period, a class of SEIR epidemic model is studied. Using the theory of Lasalle and autonomous convergence theorem, the global stability of the dis- ease- free equilibrium and the endemic equilibrium are proved. The sufficient conditions of bifurcation are ob- tained, and the accuracy of the model＇ s conclusion are proved by numerical simulation.

关 键 词：非线性接触率 分支 全局稳定 

分 类 号：O175[理学—数学]