期刊
PHYSICA A-STATISTICAL MECHANICS AND ITS APPLICATIONS
卷 512, 期 -, 页码 248-260出版社
ELSEVIER
DOI: 10.1016/j.physa.2018.08.113
关键词
Environmental fluctuation; Media coverage; Feller's test; Threshold dynamics; Stationary distribution
资金
- National Natural Science Foundation of China [11671260, 11601250]
- Shanghai Leading Academic Discipline Project [XTKX2012]
- Hujiang Foundation of China [814005]
- Natural Science Foundation of Ningxia [NZ17082]
Media coverage is one of the important measures for controlling infectious diseases, but the effect of media coverage on diseases spreading in a stochastic environment still needs to be further investigated. Here, we present a stochastic susceptible-infected-susceptible (SIS) epidemic model incorporating media coverage and environmental fluctuations. By using Feller's test and stochastic comparison principle, we establish the stochastic basic reproduction number R-0(s), which completely determines whether the disease is persistent or not in the population. If R-0(s) <= 1, the disease will go to extinction; if R-0(s) = 1, the disease will also go to extinction in probability, which has not been reported in the known literatures; and if R-0(s) > 1, the disease will be stochastically persistent. In addition, the existence of the stationary distribution of the model and its ergodicity are obtained. Numerical simulations based on real examples support the theoretical results. The interesting findings are that (i) the environmental fluctuation may significantly affect the threshold dynamical behavior of the disease and the fluctuations in different size scale population, and (ii) the media coverage plays an important role in affecting the stationary distribution of disease under a low intensity noise environment. (C) 2018 Elsevier B.V. All rights reserved.
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