解析一类SIS和SIR传染病模型的稳定性

Analysis of a Class of SIS and Stability of an SIR Epidemic Model

借助微分方程建立传染病SIS模型和SIR模型,进一步研究了一类SIS和SIR传染病模型,得出了决定SIS传染病是否发生的阈值;解析了SIR模型无病平衡点和地方平衡点的稳定性.

With the establishment of the differential equations of infectious SIS model and SIR model,further studies on a class of SIS and SIR infectious disease model,the decision of SIS infectious disease occurs whether the threshold;analytical model of SIR disease-free equilibrium and the endemic equilibrium stability.