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The impact of media coverage on the dynamics of infectious disease. (English) Zbl 1155.92343
Summary: we give a compartment model to discuss the influence of media coverage to the spreading and controlling of infectious disease in a given region. The model exhibits two equilibria: a disease-free and a unique endemic equilibrium. Stability analysis of the models shows that the disease-free equilibrium is globally asymptotically stable if the reproduction number $(\Bbb R_0)$, which depends on parameters, is less than unity. But if $\Bbb R_0>1$, it is shown that a unique endemic equilibrium appears, which is asymptotically stable. In a special case, the endemic equilibrium is globally stable. We discuss the role of media coverage on the spreading based on the theory results.

34D05Asymptotic stability of ODE
34D23Global stability of ODE
SIRS model
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