IDEAS home Printed from https://ideas.repec.org/a/eee/phsmap/v490y2018icp702-720.html
   My bibliography  Save this article

Stability and bifurcation for an SEIS epidemic model with the impact of media

Author

Listed:
  • Huo, Hai-Feng
  • Yang, Peng
  • Xiang, Hong

Abstract

A novel SEIS epidemic model with the impact of media is introduced. By analyzing the characteristic equation of equilibrium, the basic reproduction number is obtained and the stability of the steady states is proved. The occurrence of a forward, backward and Hopf bifurcation is derived. Numerical simulations and sensitivity analysis are performed. Our results manifest that media can regard as a good indicator in controlling the emergence and spread of the epidemic disease.

Suggested Citation

  • Huo, Hai-Feng & Yang, Peng & Xiang, Hong, 2018. "Stability and bifurcation for an SEIS epidemic model with the impact of media," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 490(C), pages 702-720.
    • Handle: RePEc:eee:phsmap:v:490:y:2018:i:c:p:702-720
    DOI: 10.1016/j.physa.2017.08.139
    as

    Download full text from publisher

    File URL: http://www.sciencedirect.com/science/article/pii/S0378437117308750
    Download Restriction: Full text for ScienceDirect subscribers only. Journal offers the option of making the article available online on Science direct for a fee of $3,000
    File URL: https://libkey.io/10.1016/j.physa.2017.08.139?utm_source=ideas
    LibKey link: if access is restricted and if your library uses this service, LibKey will redirect you to where you can use your library subscription to access this item
    ---><---

    As the access to this document is restricted, you may want to search for a different version of it.

    References listed on IDEAS

    as
    1. Wallis, Patrick & Nerlich, Brigitte, 2005. "Disease metaphors in new epidemics: the UK media framing of the 2003 SARS epidemic," Social Science & Medicine, Elsevier, vol. 60(11), pages 2629-2639, June.
    Full references (including those not matched with items on IDEAS)

    Citations

    Citations are extracted by the CitEc Project, subscribe to its RSS feed for this item.
    as


    Cited by:

    1. Zhang, Jia-Fang & Wang, Shaoli & Kong, Xiangjun, 2018. "Effects of toxin delay on the dynamics of a phytoplankton–zooplankton model," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 505(C), pages 1150-1162.
    2. Liu, Huijuan & Zhang, Jia-Fang, 2019. "Dynamics of two time delays differential equation model to HIV latent infection," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 514(C), pages 384-395.
    3. Zhang, Zizhen & Kundu, Soumen & Tripathi, Jai Prakash & Bugalia, Sarita, 2020. "Stability and Hopf bifurcation analysis of an SVEIR epidemic model with vaccination and multiple time delays," Chaos, Solitons & Fractals, Elsevier, vol. 131(C).
    4. Buonomo, Bruno & Della Marca, Rossella, 2019. "Oscillations and hysteresis in an epidemic model with information-dependent imperfect vaccination," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 162(C), pages 97-114.
    5. Shah, Zakir & Ghani, Usman & Asmi, Fahad & Wei, Lu & Qaisar, Sara, 2021. "Exposure to terrorism-related information on SNSs and life dissatisfaction: The mediating role of depression and moderation effect of social support," Technology in Society, Elsevier, vol. 64(C).
    6. Huo, Hai-Feng & Jing, Shuang-Lin & Wang, Xun-Yang & Xiang, Hong, 2020. "Modeling and analysis of a H1N1 model with relapse and effect of Twitter," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 560(C).
    7. Chen, Zhewen & Tian, Zhuyan & Zhang, Shuwen & Wei, Chunjin, 2020. "The stationary distribution and ergodicity of a stochastic phytoplankton–zooplankton model with toxin-producing phytoplankton under regime switching," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 537(C).
    8. Tomovski, Igor & Basnarkov, Lasko & Abazi, Alajdin, 2022. "Endemic state equivalence between non-Markovian SEIS and Markovian SIS model in complex networks," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 599(C).

    Most related items

    These are the items that most often cite the same works as this one and are cited by the same works as this one.
    1. Lawrence, Jody & Kearns, Robin A. & Park, Julie & Bryder, Linda & Worth, Heather, 2008. "Discourses of disease: Representations of tuberculosis within New Zealand newspapers 2002-2004," Social Science & Medicine, Elsevier, vol. 66(3), pages 727-739, February.
    2. Adam Burgess, 2012. "Media, Risk, and Absence of Blame for “Acts of God”: Attenuation of the European Volcanic Ash Cloud of 2010," Risk Analysis, John Wiley & Sons, vol. 32(10), pages 1693-1702, October.
    3. Smith, Richard D., 2006. "Responding to global infectious disease outbreaks: Lessons from SARS on the role of risk perception, communication and management," Social Science & Medicine, Elsevier, vol. 63(12), pages 3113-3123, December.
    4. Wang, Yi & Cao, Jinde & Jin, Zhen & Zhang, Haifeng & Sun, Gui-Quan, 2013. "Impact of media coverage on epidemic spreading in complex networks," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 392(23), pages 5824-5835.
    5. Frédéric Basso & Philippe Robert-Demontrond & Maryvonne Hayek & Jean-Luc Anton & Bruno Nazarian & Muriel Roth & Olivier Oullier, 2014. "Why People Drink Shampoo? Food Imitating Products Are Fooling Brains and Endangering Consumers for Marketing Purposes," Post-Print halshs-01183005, HAL.
    6. Yoo, Nari & Jang, Sou Hyun, 2024. "Does social empathy moderate fear-induced minority blaming during the COVID-19 pandemic?," Social Science & Medicine, Elsevier, vol. 346(C).
    7. Coveney, Catherine M. & Nerlich, Brigitte & Martin, Paul, 2009. "Modafinil in the media: Metaphors, medicalisation and the body," Social Science & Medicine, Elsevier, vol. 68(3), pages 487-495, February.
    8. Bruine de Bruin, Wändi & Carman, Katherine G. & Parker, Andrew M., 2021. "Mental associations with COVID-19 and how they relate with self-reported protective behaviors: A national survey in the United States," Social Science & Medicine, Elsevier, vol. 275(C).
    9. Basso, Frédéric & Robert-Demontrond, Philippe & Hayek, Maryvonne & Anton, Jean-Luc & Nazarian, Bruno & Roth, Muriel & Oullier, Olivier, 2014. "Why people drink shampoo? Food imitating products are fooling brains and endangering consumers for marketing purposes," LSE Research Online Documents on Economics 59224, London School of Economics and Political Science, LSE Library.
    10. Shui-Lien Chen & Hsiang-Ting Hsu & Richard Chinomona, 2023. "How Tourists’ Perceived Risk Affects Behavioral Intention through Crisis Communication in the Post-COVID-19 Era," Mathematics, MDPI, vol. 11(4), pages 1-18, February.
    11. Delbaere, Marjorie, 2013. "Metaphors and myths in pharmaceutical advertising," Social Science & Medicine, Elsevier, vol. 82(C), pages 21-29.
    12. Ribeiro, Barbara & Hartley, Sarah & Nerlich, Brigitte & Jaspal, Rusi, 2018. "Media coverage of the Zika crisis in Brazil: The construction of a ‘war’ frame that masked social and gender inequalities," Social Science & Medicine, Elsevier, vol. 200(C), pages 137-144.
    13. Espinoza, Maria I., 2021. "Conflicting diagnostic and prognostic framing of epidemics? Newspaper representations of dengue as a public health problem in Peru," Social Science & Medicine, Elsevier, vol. 289(C).
    14. Van Gorp, Baldwin & Vercruysse, Tom, 2012. "Frames and counter-frames giving meaning to dementia: A framing analysis of media content," Social Science & Medicine, Elsevier, vol. 74(8), pages 1274-1281.
    15. Lopata Ewelina & Rogatka Krzysztof, 2021. "CSR&COVID19 – How do they work together? Perceptions of Corporate Social Responsibility transformation during a pandemic crisis. Towards smart development," Bulletin of Geography. Socio-economic Series, Sciendo, vol. 53(53), pages 87-103, September.
    16. Mazanderani, Fadhila & Locock, Louise & Powell, John, 2012. "Being differently the same: The mediation of identity tensions in the sharing of illness experiences," Social Science & Medicine, Elsevier, vol. 74(4), pages 546-553.
    17. Aftab Hossain & Juliana Abdul Wahab & Md. Saidur Rahman Khan, 2022. "A Computer-Based Text Analysis of Al Jazeera, BBC, and CNN News Shares on Facebook: Framing Analysis on Covid-19 Issues," SAGE Open, , vol. 12(1), pages 21582440211, January.
    18. Eichelberger, Laura, 2007. "SARS and New York's Chinatown: The politics of risk and blame during an epidemic of fear," Social Science & Medicine, Elsevier, vol. 65(6), pages 1284-1295, September.
    19. Antonio La Sala & Ryan Patrick Fuller & Mario Calabrese, 2022. "From War to Change, from Resistance to Resilience: Vicariance, Bricolage and Exaptation as New Metaphors to Frame the Post COVID-19 Era," Administrative Sciences, MDPI, vol. 12(3), pages 1-17, September.
    20. Rashid Nazir & Jawad Ali & Ijaz Rasul & Emilie Widemann & Sarfraz Shafiq, 2021. "Eco-Environmental Aspects of COVID-19 Pandemic and Potential Control Strategies," IJERPH, MDPI, vol. 18(7), pages 1-16, March.

    Corrections

    All material on this site has been provided by the respective publishers and authors. You can help correct errors and omissions. When requesting a correction, please mention this item's handle: RePEc:eee:phsmap:v:490:y:2018:i:c:p:702-720. See general information about how to correct material in RePEc.

    If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.

    If CitEc recognized a bibliographic reference but did not link an item in RePEc to it, you can help with this form .

    If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your RePEc Author Service profile, as there may be some citations waiting for confirmation.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: Catherine Liu (email available below). General contact details of provider: http://www.journals.elsevier.com/physica-a-statistical-mechpplications/ .

    Please note that corrections may take a couple of weeks to filter through the various RePEc services.

    IDEAS is a RePEc service. RePEc uses bibliographic data supplied by the respective publishers.