具有饱和接触率的SIQRS模型的稳定性研究

Analysis of SIQRS Epidemic Model with Saturated Contact Rate

首先建立一个具有饱和接触率的SIQRS模型,通过计算得到阈值R0的表达式;然后对阈值R0进行讨论;接着利用稳定性定理和Dulac定理得到无病平衡点和地方病平衡点的存在性和全局稳定性;最后通过计算机仿真验证了该结果的正确性。

First,this paper constructed a SIQRS epidemic model with saturated contact rate. We got the threshold R0 by calculating,in which there exists a disease-free equilibrium point and an endemic equilibrium point by stability theorem and Dulac Theorem,at last,the computer numerical value simulation implies that the conclusion is right.