一类具有非线性饱和传染率的传染病模型分析  

Analysis on an epidemic model with non-linear saturated incidence rate

作　　者：张拥军[1] 王美娟[1] 徐金瑞[1] 

机构地区：[1]上海理工大学理学院,上海200093

出　　处：《上海理工大学学报》2010年第5期461-465,共5页Journal of University of Shanghai For Science and Technology

摘　　要：讨论了一类具有非线性饱和传染率的传染病模型,确定了无病平衡点和地方病平衡点存在的条件.利用不变集原理得到了各类平衡点局部或全局渐近稳定的条件.Based on the study on an epidemic model with non-linear saturated incidence rate,the conditions for existence of disease-free equilibrium point and endemic equilibrium point were found.By using the largest invariant set principle,the conditions for local or global asymptotic stability of equilibrium points were also found.

关 键 词：平衡点 饱和传染率 Hurwitz判据 全局渐近稳定性 

分 类 号：O175.1[理学—数学]