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The effect of media coverage on threshold dynamics for a stochastic SIS epidemic model()
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 incorpor...
Autores principales: | , , |
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Formato: | Online Artículo Texto |
Lenguaje: | English |
Publicado: |
Elsevier B.V.
2018
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Materias: | |
Acceso en línea: | https://www.ncbi.nlm.nih.gov/pmc/articles/PMC7125822/ https://www.ncbi.nlm.nih.gov/pubmed/32288106 http://dx.doi.org/10.1016/j.physa.2018.08.113 |
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author | Zhao, Yu Zhang, Liping Yuan, Sanling |
author_facet | Zhao, Yu Zhang, Liping Yuan, Sanling |
author_sort | Zhao, Yu |
collection | PubMed |
description | 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 [Formula: see text] , which completely determines whether the disease is persistent or not in the population. If [Formula: see text] , the disease will go to extinction; if [Formula: see text] , the disease will also go to extinction in probability, which has not been reported in the known literatures; and if [Formula: see text] , 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. |
format | Online Article Text |
id | pubmed-7125822 |
institution | National Center for Biotechnology Information |
language | English |
publishDate | 2018 |
publisher | Elsevier B.V. |
record_format | MEDLINE/PubMed |
spelling | pubmed-71258222020-04-08 The effect of media coverage on threshold dynamics for a stochastic SIS epidemic model() Zhao, Yu Zhang, Liping Yuan, Sanling Physica A Article 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 [Formula: see text] , which completely determines whether the disease is persistent or not in the population. If [Formula: see text] , the disease will go to extinction; if [Formula: see text] , the disease will also go to extinction in probability, which has not been reported in the known literatures; and if [Formula: see text] , 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. Elsevier B.V. 2018-12-15 2018-08-07 /pmc/articles/PMC7125822/ /pubmed/32288106 http://dx.doi.org/10.1016/j.physa.2018.08.113 Text en © 2018 Elsevier B.V. All rights reserved. Since January 2020 Elsevier has created a COVID-19 resource centre with free information in English and Mandarin on the novel coronavirus COVID-19. The COVID-19 resource centre is hosted on Elsevier Connect, the company's public news and information website. Elsevier hereby grants permission to make all its COVID-19-related research that is available on the COVID-19 resource centre - including this research content - immediately available in PubMed Central and other publicly funded repositories, such as the WHO COVID database with rights for unrestricted research re-use and analyses in any form or by any means with acknowledgement of the original source. These permissions are granted for free by Elsevier for as long as the COVID-19 resource centre remains active. |
spellingShingle | Article Zhao, Yu Zhang, Liping Yuan, Sanling The effect of media coverage on threshold dynamics for a stochastic SIS epidemic model() |
title | The effect of media coverage on threshold dynamics for a stochastic SIS epidemic model() |
title_full | The effect of media coverage on threshold dynamics for a stochastic SIS epidemic model() |
title_fullStr | The effect of media coverage on threshold dynamics for a stochastic SIS epidemic model() |
title_full_unstemmed | The effect of media coverage on threshold dynamics for a stochastic SIS epidemic model() |
title_short | The effect of media coverage on threshold dynamics for a stochastic SIS epidemic model() |
title_sort | effect of media coverage on threshold dynamics for a stochastic sis epidemic model() |
topic | Article |
url | https://www.ncbi.nlm.nih.gov/pmc/articles/PMC7125822/ https://www.ncbi.nlm.nih.gov/pubmed/32288106 http://dx.doi.org/10.1016/j.physa.2018.08.113 |
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