The Impact Of Media Coverage On Infectious Disease Model

It had always been one of the problems of health and epidemic prevention departments to prevent and control the infectious diseases. Media would report when a disease outbroken, according to this method it would affect the spread of the disease. In this paper, we explored the media effect on the spread of infectious disease by studying the dynamics properties of two kinds of models of infectious disease hype on infectious diseases.We established a class of SISM epidemic model with the nonlinear incidence, consciousness accumulation density. The four-dimensional system of model was reduced to a three-dimensional by using the theory of limit system, we got the threshold of the model, the global stability conditions of the disease-free equilibrium point and the endemic equilibrium point was found. The global stability of the disease-free equilibrium point was proved by applying the Liapunov function, the uniform permanence of the endemic equilibrium was studied. The global stability of the disease equilibrium point was proved by applying the geometric criterion. The results of model research were applied to the epidemic H1N1, and we analysed the affection of media coverage on the disease control. In the end, the rationality of the results were tested by combining with the actual incidence data.An SISM epidemic model with double delay and media consciousness accumulation density was studied to consider disease incubation period and media time lag effect on infectious disease control. Though the construction of the Liapunov function, the global stability conditions of the disease-free equilibrium point was obtained. Because the parameters about disease incubation period and the time lag could take different values, we discussed respectively the conditions of the stability of the endemic equilibrium point and Hopf branch from four different cases. Finally, we knew the above conditions were right though the numerical simulation. Applying the results of the study to infectious disease of H1N1. By comparing with no time lag situation, we could find that media time lag had certain influence on the spread of disease.