一类具有常恢复率且总人口变化的SEIS传染病模型的稳定性

This paper considers an SEIS epidemic model with infectious force in the latent period and a general population-size dependent contact rate.A threshold parameter R is identified.If R≤1,the disease-free equilibrium O is globally stable.IfR>1,there is a unique endemic equilibrium and O is unstable.For two important special cases of bilinear and standard incidence,sufficient conditions for the global stability of this endemic equilibrium are given.The same qualitative results are obtained provided the threshold is more than unity for the corresponding SEIS model with no infectious force in the latent period.Some existing results are extended and improved.     

具有常恢复率的艾滋病梯度传染模型

本文建立了一个具有常恢复率的同质人群艾滋病梯度传染模型，其中的性接触数是人群变量的函数，讨论了平衡点的存在性和稳定性，推广和改进了一些相关的已有结果。