具有依赖于总人数的有效接触率的生态-传染病模型  

Ecology-epidemic model considering effective contact rate dependent on total number of persons

作　　者：刘妍[1] 王美娟[1] 鲁铁军[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》2007年第5期409-412,共4页Journal of University of Shanghai For Science and Technology

摘　　要：研究了具有依赖于总人数的有效接触率的生态-传染病模型.建立了一个具有依赖于总人数的有效接触率的模型,在模型的不变子集上先求出阈值R0的表达式.如果R0≤1,则疾病消除平衡点全局渐近稳定;如果R0>1,则存在唯一的传染病平衡点,且是全局渐近稳定的.对带有双线性传染率和标准传染率的两个模型作了相应的讨论.An ecology-epidemic model which takes into account the effective contact rate relying on the total number of persons is proposed and the expression of the threshold value R0 is extracted on the invariant subset. If R0≤1, then the disease-free epuilibrium point is of global asymptotic stability;if R0〉1, then exists the only epidemic equilibrium point, which is of global asymptotic stability. Corresponding discussions are made regarding the models of both bilinearity contagiosity and standard contagiosity.

关 键 词：传染病模型 有效接触率 阈值 全局渐近稳定性 

分 类 号：O175.13[理学—数学]