Abstract:
In view of the discontinuity of disease data collection units, Euler discrete method is used to establish a kind of discrete SIR infectious disease switching model induced by media reports.The existence and stability of the endemic equilibria of two subsystems are studied theoretically. By numerical simulation, the equilibria bifurcation, sensitivity analysis of the key parameter and initial value are investigated. The results show that the minor perturbation of some parameters can influence the frequency and times of the outbreak of the infectious disease. Meanwhile, the disease transmission rate can be reduced through media reports, and the outbreak of the disease can be prevented effectively.