期刊
PHYSICA A-STATISTICAL MECHANICS AND ITS APPLICATIONS
卷 492, 期 -, 页码 2220-2236出版社
ELSEVIER
DOI: 10.1016/j.physa.2017.11.137
关键词
Epidemic model; Media coverage; Reproduction number; Extinction; Persistence
资金
- Natural Science Foundation of China [61672013, 11661064, 11601179, 11461053, 61772017]
- Natural Science Foundation of the Jiangsu Higher Education Institutions of China [16kJB110003]
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 R-0(s) 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. (C) 2017 Elsevier B.V. All rights reserved.
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