具有时滞和非线性接触率的SIS传染病模型的稳定性分析

Stability of A SIS Epidemic Model with Nonlinear Infection Rate and Time Delay

研究了一类具有时滞和非线性接触率的SIS传染病模型,讨论了系统平衡点的局部稳定性,根据比较定理讨论了无病平衡点的全局稳定性,并证明了地方病平衡点的一致持续性及全局稳定性。

In this paper,we considered a SIS epidemic model with nonlinear infection rate and time delay.The local stability of each of equilibria is established.By using the comparison theorem,the global stability of the disease free equilibrium of the model is discussed.Furthermore,it is proved that the modet is of uniform persistence and global stability.