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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.

MSC:
92D30Epidemiology
34D05Asymptotic stability of ODE
34D23Global stability of ODE
Keywords:
SIRS model
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