具有饱和发生率的SIS传染病模型稳定性

Stability of a SIS Epidemic Model with Saturation Incidence

考虑了一类具有易感人群饱和发生率的SIS传染病数学模型,定义了基本再生数,证明了地方病平衡点的存在唯一性、局部和全局渐近稳定性,分析了饱和发生率参数对模型动力学行为的影响,并通过数值模拟验证了所得结论的准确性。

A class of SIS infectious disease mathematical model with susceptible population saturation incidence rate is considered,the basic reproduction number is defined,and the existence,uniqueness and stability of the equilibrium are proved.The influence of saturation incidence parameters on the dynamic behavior of the model is analyzed.Finally,the accuracy of all conclusions is verified by numerical verification.