Stochastic persistence and stationary distribution in an SIS epidemic model with media coverage

Wenjuan Guo, Yongli Cai, Qimin Zhang and Weiming Wang

Physica A: Statistical Mechanics and its Applications, 2018, vol. 492, issue C, 2220-2236

Abstract: This paper aims to study an SIS epidemic model with media coverage from a general deterministic model to a stochastic differential equation with environment fluctuation. Mathematically, we use the Markov semigroup theory to prove that the basic reproduction number R0s can be used to control the dynamics of stochastic system. Epidemiologically, we show that environment fluctuation can inhibit the occurrence of the disease, namely, in the case of disease persistence for the deterministic model, the disease still dies out with probability one for the stochastic model. So to a great extent the stochastic perturbation under media coverage affects the outbreak of the disease.

Keywords: Epidemic model; Media coverage; Reproduction number; Extinction; Persistence (search for similar items in EconPapers)
Date: 2018
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Citations: View citations in EconPapers (23)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:492:y:2018:i:c:p:2220-2236

DOI: 10.1016/j.physa.2017.11.137

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