Modeling the impact of twitter on influenza epidemics

Influenza remains a serious public-health problem worldwide. Therising popularity and scale of social networking sites such asTwitter may play an important role in detecting, affecting, andpredicting influenza epidemics. In this paper, we develop a simplemathematical model including the dynamics of...

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Main Authors: Kasia A. Pawelek, Anne Oeldorf-Hirsch, Libin Rong
Format: Article
Language:English
Published: AIMS Press 2014-08-01
Series:Mathematical Biosciences and Engineering
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Online Access:https://www.aimspress.com/article/doi/10.3934/mbe.2014.11.1337
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author Kasia A. Pawelek
Anne Oeldorf-Hirsch
Libin Rong
author_facet Kasia A. Pawelek
Anne Oeldorf-Hirsch
Libin Rong
author_sort Kasia A. Pawelek
collection DOAJ
description Influenza remains a serious public-health problem worldwide. Therising popularity and scale of social networking sites such asTwitter may play an important role in detecting, affecting, andpredicting influenza epidemics. In this paper, we develop a simplemathematical model including the dynamics of ``tweets'' --- short,140-character Twitter messages that may enhance the awareness ofdisease, change individual's behavior, and reduce the transmissionof disease among a population during an influenza season. We analyzethe model by deriving the basic reproductive number and proving thestability of the steady states. A Hopf bifurcation occurs when athreshold curve is crossed, which suggests the possibility ofmultiple outbreaks of influenza. We also perform numericalsimulations, conduct sensitivity test on a few parameters related totweets, and compare modeling predictions with surveillance data ofinfluenza-like illness reported cases and the percentage of tweetsself-reporting flu during the 2009 H1N1 flu outbreak in England andWales. These results show that social media programs like Twittermay serve as a good indicator of seasonal influenza epidemics andinfluence the emergence and spread of the disease.
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spelling doaj-art-1df704d022714491b7fadc989154b4022025-01-24T02:29:00ZengAIMS PressMathematical Biosciences and Engineering1551-00182014-08-011161337135610.3934/mbe.2014.11.1337Modeling the impact of twitter on influenza epidemicsKasia A. Pawelek0Anne Oeldorf-Hirsch1Libin Rong2Department of Mathematics and Computational Science, University of South Carolina Beaufort, Bluffton, SC 29909Department of Communication, University of Connecticut, Storrs, CT 06269Department of Mathematics and Statistics, Oakland University, Rochester, MI 48309Influenza remains a serious public-health problem worldwide. Therising popularity and scale of social networking sites such asTwitter may play an important role in detecting, affecting, andpredicting influenza epidemics. In this paper, we develop a simplemathematical model including the dynamics of ``tweets'' --- short,140-character Twitter messages that may enhance the awareness ofdisease, change individual's behavior, and reduce the transmissionof disease among a population during an influenza season. We analyzethe model by deriving the basic reproductive number and proving thestability of the steady states. A Hopf bifurcation occurs when athreshold curve is crossed, which suggests the possibility ofmultiple outbreaks of influenza. We also perform numericalsimulations, conduct sensitivity test on a few parameters related totweets, and compare modeling predictions with surveillance data ofinfluenza-like illness reported cases and the percentage of tweetsself-reporting flu during the 2009 H1N1 flu outbreak in England andWales. These results show that social media programs like Twittermay serve as a good indicator of seasonal influenza epidemics andinfluence the emergence and spread of the disease.https://www.aimspress.com/article/doi/10.3934/mbe.2014.11.1337stabilitymathematical modelepidemiologytwitterdata fitting.hopf bifurcationsocial mediainfluenza
spellingShingle Kasia A. Pawelek
Anne Oeldorf-Hirsch
Libin Rong
Modeling the impact of twitter on influenza epidemics
Mathematical Biosciences and Engineering
stability
mathematical model
epidemiology
twitter
data fitting.
hopf bifurcation
social media
influenza
title Modeling the impact of twitter on influenza epidemics
title_full Modeling the impact of twitter on influenza epidemics
title_fullStr Modeling the impact of twitter on influenza epidemics
title_full_unstemmed Modeling the impact of twitter on influenza epidemics
title_short Modeling the impact of twitter on influenza epidemics
title_sort modeling the impact of twitter on influenza epidemics
topic stability
mathematical model
epidemiology
twitter
data fitting.
hopf bifurcation
social media
influenza
url https://www.aimspress.com/article/doi/10.3934/mbe.2014.11.1337
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AT anneoeldorfhirsch modelingtheimpactoftwitteroninfluenzaepidemics
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