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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 \((\mathbb R_0)\), which depends on parameters, is less than unity. But if \(\mathbb R_0>1\), 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:

92D30 Epidemiology
34D05 Asymptotic properties of solutions to ordinary differential equations
34D23 Global stability of solutions to ordinary differential equations

Keywords:

SIRS model
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References:

[1] Cui J., J. Dynam. Differential Equations
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