Media Coverage Under The Influence Of Sir And Sirs Models

When a severely infectious disease take place in a region, it will bring a large number of illness. If the suspected people don't know the disease and the development status of the disease, they will be lack of protecting measures, so the disease will spread everywhere.We construct several disease models with impact of media to show how the media coverage influence the disease. In Chapter 1, we study the SIRS and SIR models which are related to media coverage and we get when R₀ < 1, the disease-free equilibrium is globally asymptotical stable, when R₀ > 1, the endemic equilibrium of SIR model is locally asymptotical stable; In Chapter2 and Chapter3 we give two models, which are related to media coverage,immune vaccination and vertical transmission. We have when R₀ < 1, the disease-free equilibrium is globally asymptotical stable, when R₀ > 1, the endemic equilibrium is globally asymptotical stable. In general, from the analysis and number simulation, we find that the media coverage can put off the arrival of the infection peak.