Steady-State Properties Analysis of SIS Infectious Disease Model with Correlated Noise

A model closer to real life and applicable to a wider range of scenarios and conditions is obtained by adding internal and external disturbance factors based on the original SIS infectious disease model when the differences between different individuals and environments, such as health status, protection measures and uncertainty of model parameters, are considered. The equilibrium point of the SIS infectious disease model with correlated noise and the steady-state solution of the Fokker-Planck equation are solved through linearized approximate numerical methods. The steady-state probability distribution function of the SIS infectious disease model are plotted by using Geometer’s Sketchpad, the impact of various parameters on the SIS infectious disease model and the fluctuations of the equilibrium point of the SIS infectious disease model are dynamically examined. The results show that the SIS infectious disease model can effectively improve the fitting accuracy of the real epidemic transmission by regulating the noise intensity parameter and color correlation characteristics (including correlation strength and duration), and provide theoretical support and quantitative basis for the formulation of public health intervention measures.