IDEAS home Printed from https://ideas.repec.org/a/eee/chsofr/v171y2023ics0960077923003272.html
   My bibliography  Save this article

Social dilemma analysis on vaccination game accounting for the effect of immunity waning

Author

Listed:
  • Nishimura, Itsuki
  • Arefin, Md. Rajib
  • Tatsukawa, Yuichi
  • Utsumi, Shinobu
  • Hossain, Md. Anowar
  • Tanimoto, Jun

Abstract

A new SEIRS-based ODE (Ordinary Differential Equation) model is built, where asymptomatic and symptomatic infectious compartments, hospitalized state and immune state are additionally introduced, which is dovetailed with a behavior model that defines the vaccination rate as time-variable. We also apply Social Efficiency Deficit; SED, to quantitatively identify whether or not social dilemma taking place behind the model dynamics. Numerical results prove that, depending on the fraction of asymptomatic infected individuals and the discount ratio of infected force for asymptomatic state compared with that for symptomatic one, whether or not social dilemma appearing is different, which is also substantially affected by the vaccination cost and the immunity waning rate. The behavior model tends to incur a slight social dilemma brought by wasting vaccination even in the region of disease free, identified by R0<1. Meanwhile, a relatively strong social dilemma is indicated in the parameter region where the behavior model shows less amount of vaccinated population while the social optimal state needs much more vaccinated for complete remission of disease.

Suggested Citation

  • Nishimura, Itsuki & Arefin, Md. Rajib & Tatsukawa, Yuichi & Utsumi, Shinobu & Hossain, Md. Anowar & Tanimoto, Jun, 2023. "Social dilemma analysis on vaccination game accounting for the effect of immunity waning," Chaos, Solitons & Fractals, Elsevier, vol. 171(C).
  • Handle: RePEc:eee:chsofr:v:171:y:2023:i:c:s0960077923003272
    DOI: 10.1016/j.chaos.2023.113426
    as

    Download full text from publisher

    File URL: http://www.sciencedirect.com/science/article/pii/S0960077923003272
    Download Restriction: Full text for ScienceDirect subscribers only

    File URL: https://libkey.io/10.1016/j.chaos.2023.113426?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. Chris T Bauch & Samit Bhattacharyya, 2012. "Evolutionary Game Theory and Social Learning Can Determine How Vaccine Scares Unfold," PLOS Computational Biology, Public Library of Science, vol. 8(4), pages 1-12, April.
    2. Lv, Wei & He, Hanfei & Li, Kezan, 2022. "Robust optimal control of a network-based SIVS epidemic model with time delay," Chaos, Solitons & Fractals, Elsevier, vol. 161(C).
    3. Fukuda, Eriko & Kokubo, Satoshi & Tanimoto, Jun & Wang, Zhen & Hagishima, Aya & Ikegaya, Naoki, 2014. "Risk assessment for infectious disease and its impact on voluntary vaccination behavior in social networks," Chaos, Solitons & Fractals, Elsevier, vol. 68(C), pages 1-9.
    4. Huang, Jiechen & Wang, Juan & Xia, Chengyi, 2020. "Role of vaccine efficacy in the vaccination behavior under myopic update rule on complex networks," Chaos, Solitons & Fractals, Elsevier, vol. 130(C).
    Full references (including those not matched with items on IDEAS)

    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. Kabir, K.M. Ariful & Tanimoto, Jun, 2019. "Dynamical behaviors for vaccination can suppress infectious disease – A game theoretical approach," Chaos, Solitons & Fractals, Elsevier, vol. 123(C), pages 229-239.
    2. Kulsum, Umma & Alam, Muntasir & Kamrujjaman, Md., 2024. "Modeling and investigating the dilemma of early and delayed vaccination driven by the dynamics of imitation and aspiration," Chaos, Solitons & Fractals, Elsevier, vol. 178(C).
    3. Ullah, Mohammad Sharif & Higazy, M. & Kabir, K.M. Ariful, 2022. "Dynamic analysis of mean-field and fractional-order epidemic vaccination strategies by evolutionary game approach," Chaos, Solitons & Fractals, Elsevier, vol. 162(C).
    4. Ichinose, Genki & Kurisaku, Takehiro, 2017. "Positive and negative effects of social impact on evolutionary vaccination game in networks," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 468(C), pages 84-90.
    5. Meng, Xueyu & Lin, Jianhong & Fan, Yufei & Gao, Fujuan & Fenoaltea, Enrico Maria & Cai, Zhiqiang & Si, Shubin, 2023. "Coupled disease-vaccination behavior dynamic analysis and its application in COVID-19 pandemic," Chaos, Solitons & Fractals, Elsevier, vol. 169(C).
    6. Chang, Sheryl L. & Piraveenan, Mahendra & Prokopenko, Mikhail, 2020. "Impact of network assortativity on epidemic and vaccination behaviour," Chaos, Solitons & Fractals, Elsevier, vol. 140(C).
    7. Han, Dun & Wang, Xiao, 2023. "Vaccination strategies and virulent mutation spread: A game theory study," Chaos, Solitons & Fractals, Elsevier, vol. 176(C).
    8. Benyun Shi & Guangliang Liu & Hongjun Qiu & Yu-Wang Chen & Shaoliang Peng, 2019. "Voluntary Vaccination through Perceiving Epidemic Severity in Social Networks," Complexity, Hindawi, vol. 2019, pages 1-13, February.
    9. Alam, Muntasir & Ida, Yuki & Tanimoto, Jun, 2021. "Abrupt epidemic outbreak could be well tackled by multiple pre-emptive provisions-A game approach considering structured and unstructured populations," Chaos, Solitons & Fractals, Elsevier, vol. 143(C).
    10. Okita, Kouki & Tatsukawa, Yuichi & Utsumi, Shinobu & Arefin, Md. Rajib & Hossain, Md. Anowar & Tanimoto, Jun, 2023. "Stochastic resonance effect observed in a vaccination game with effectiveness framework obeying the SIR process on a scale-free network," Chaos, Solitons & Fractals, Elsevier, vol. 167(C).
    11. Li, Qiu & Li, MingChu & Lv, Lin & Guo, Cheng & Lu, Kun, 2017. "A new prediction model of infectious diseases with vaccination strategies based on evolutionary game theory," Chaos, Solitons & Fractals, Elsevier, vol. 104(C), pages 51-60.
    12. Kabir, K.M. Ariful, 2021. "How evolutionary game could solve the human vaccine dilemma," Chaos, Solitons & Fractals, Elsevier, vol. 152(C).
    13. Deka, Aniruddha & Bhattacharyya, Samit, 2022. "The effect of human vaccination behaviour on strain competition in an infectious disease: An imitation dynamic approach," Theoretical Population Biology, Elsevier, vol. 143(C), pages 62-76.
    14. Yunhwan Kim & Ana Vivas Barber & Sunmi Lee, 2020. "Modeling influenza transmission dynamics with media coverage data of the 2009 H1N1 outbreak in Korea," PLOS ONE, Public Library of Science, vol. 15(6), pages 1-21, June.
    15. Sakthivel, Rathinasamy & Suveetha, V.T. & Nithya, Venkatesh & Sakthivel, Ramalingam, 2020. "Finite-time fault detection filter design for complex systems with multiple stochastic communication and distributed delays," Chaos, Solitons & Fractals, Elsevier, vol. 136(C).
    16. Wang, Jianwei & Xu, Wenshu & Chen, Wei & Yu, Fengyuan & He, Jialu, 2021. "Information sharing can suppress the spread of epidemics: Voluntary vaccination game on two-layer networks," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 583(C).
    17. Kejriwal, Saransh & Sheth, Sarjan & Silpa, P.S. & Sarkar, Sumit & Guha, Apratim, 2022. "Attaining herd immunity to a new infectious disease through multi-stage policies incentivising voluntary vaccination," Chaos, Solitons & Fractals, Elsevier, vol. 154(C).
    18. Utsumi, Shinobu & Arefin, Md. Rajib & Tatsukawa, Yuichi & Tanimoto, Jun, 2022. "How and to what extent does the anti-social behavior of violating self-quarantine measures increase the spread of disease?," Chaos, Solitons & Fractals, Elsevier, vol. 159(C).
    19. Tang, Guo-Mei & Cai, Chao-Ran & Wu, Zhi-Xi, 2017. "Evolutionary vaccination dynamics with internal support mechanisms," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 473(C), pages 135-143.
    20. Mendonça, J.P. & Brum, Arthur A. & Lyra, M.L. & Lira, Sérgio A., 2024. "Evolutionary game dynamics and the phase portrait diversity in a pandemic scenario," Applied Mathematics and Computation, Elsevier, vol. 475(C).

    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:chsofr:v:171:y:2023:i:c:s0960077923003272. 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: Thayer, Thomas R. (email available below). General contact details of provider: https://www.journals.elsevier.com/chaos-solitons-and-fractals .

    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.