Stochastic analysis of a new epidemic model with incorporating media coverage

Driss Kiouach, Yassine Sabbar*


The information intrusion (media coverage, health, education) as a kind
of non-drug treatment is a very useful method for the prevention and treatment of epidemics. Currently, there have been many works that considered taking information intrusion into series epidemic models including SIR, SEIR, SIRS (see e.g. [1,2]). Furthermore, the isolation of the infective individuals can serve as an effective way to prevent and control the dissemination of infections such as Measles, Smallpox, Ebola, and Lassa fever (see e.g. [3]). In this work, we shall investigate the dynamic behavior of a new SIQS epidemic model which considers the influence of information intrusion and environmental noise. Denote the stochastic reproduction number Rs 0, we shall prove that the  ...

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