考虑医疗资源影响下的SIS模型动力学性态分析

Dynamics Analysis of a SIS Model with Influence of Medical Resources

研究了医疗资源影响下的SIS动力学模型.首先,求出了模型的基本再生数.其次,讨论了平衡点的存在性,即若R_(1)<1,R_(0)>1+βb_(0)(d+α)/d(d+α+μ_(0))时,系统有两个正平衡点或者没有正平衡点;当R_(1)>1时,系统存在一个正平衡点,并且证明了平衡点的稳定性.最后,对参数进行了敏感性分析.

The SIS epidemic model with the influence of medical resources was built.The basic reproduction number of the model was obtained and the existence of equilibria was discussed.If R_(1)<1,R_(0)>1+βb_(0)(d+α)/d(d+α+μ_(0)),the system had two positive equilibria or no positive equilibrium,if R_(1)>1,the system had a unique positive equilibrium.And the stability of equilibria was discussed.Finally,sensitivity analysis of the parameters was conducted.