SIRSM Model with Media Information Influence

The dynamic behavior research of infectious dis-ease models has always been a very important branch of biomathematics research. Since the outbreak of COVID-19 in December 2019, many scholars have formulated and evaluated prevention and control strategies by establishing mathematical models of their dynamics to understand the mechanism of epidemic diseases. And the impact of media information on infectious diseases is obvious. In this paper, a class of SIRSM models with the influence of positive media information are established, and the feasible domain of system dynamic behavior and the basic properties of system solution are analyzed and obtained. The basic regeneration number is calculated using the basic regeneration number theorem and analyzes the existence and stability of disease-free equilibrium points and positive equilibrium points. Studies have shown that positive information in the media helps to reduce the spread of infectious diseases.