中文摘要：

介绍带有一般发生率和饱和治疗函数的SIS模型,采用连续可微的饱和治疗函数,描述当医疗条件有限并且感染者的数量增加时,延迟治疗所产生的影响。采用的是一般发生率,包括双线性发生率与标准发生率。给出无病平衡点与地方性平衡点存在性与全局渐进稳定性成立的充分条件,证明当治疗能力很低时出现倒向分支,因此必须提高治疗的效率与能力。数值分析证明了Hopf分支的存在性。

英文摘要：

A saturated treatment function in an saturated treatment function adopts a continuous SIS model with general incidence rate is introduced. The and differential function which describes the effect of delayed treatment when the medical condition is limited and the number of infected individuals is getting larger. The general incidence rate includes the bilinear incidence rate and the standard incidence rate. The sufficient conditions for the existence and global asymptotic stability of the disease-free and endemic equilibria are given. A backward bifurcation is found when the capacity of the treatment is low. This suggests us to improve the efficiency and capacity of the treatment. By mathematical analysis, it is shown that the system undergoes the Hopf bifurcation.