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Investigation of vaccination game approach in spreading covid-19 epidemic model with considering the birth and death rates

Author

Listed:
  • Vivekanandhan, Gayathri
  • Nourian Zavareh, Mahdi
  • Natiq, Hayder
  • Nazarimehr, Fahimeh
  • Rajagopal, Karthikeyan
  • Svetec, Milan

Abstract

In this study, an epidemic model for spreading COVID-19 is presented. This model considers the birth and death rates in the dynamics of spreading COVID-19. The birth and death rates are assumed to be the same, so the population remains constant. The dynamics of the model are explained in two phases. The first is the epidemic phase, which spreads during a season based on the proposed SIR/V model and reaches a stable state at the end of the season. The other one is the “vaccination campaign”, which takes place between two seasons based on the rules of the vaccination game. In this stage, each individual in the population decides whether to be vaccinated or not. Investigating the dynamics of the studied model during a single epidemic season without consideration of the vaccination game shows waves in the model as experimental knowledge. In addition, the impact of the parameters is studied via the rules of the vaccination game using three update strategies. The result shows that the pandemic speeding can be changed by varying parameters such as efficiency and cost of vaccination, defense against contagious, and birth and death rates. The final epidemic size decreases when the vaccination coverage increases and the average social payoff is modified.

Suggested Citation

  • Vivekanandhan, Gayathri & Nourian Zavareh, Mahdi & Natiq, Hayder & Nazarimehr, Fahimeh & Rajagopal, Karthikeyan & Svetec, Milan, 2022. "Investigation of vaccination game approach in spreading covid-19 epidemic model with considering the birth and death rates," Chaos, Solitons & Fractals, Elsevier, vol. 163(C).
  • Handle: RePEc:eee:chsofr:v:163:y:2022:i:c:s0960077922007573
    DOI: 10.1016/j.chaos.2022.112565
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    References listed on IDEAS

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    1. Wang, Xiaofeng & Perc, Matjaž, 2021. "Emergence of cooperation in spatial social dilemmas with expulsion," Applied Mathematics and Computation, Elsevier, vol. 402(C).
    2. Muñoz-Fernández, Gustavo A. & Seoane, Jesús M. & Seoane-Sepúlveda, Juan B., 2021. "A SIR-type model describing the successive waves of COVID-19," Chaos, Solitons & Fractals, Elsevier, vol. 144(C).
    3. Matjaž Perc & Zhen Wang, 2010. "Heterogeneous Aspirations Promote Cooperation in the Prisoner's Dilemma Game," PLOS ONE, Public Library of Science, vol. 5(12), pages 1-8, December.
    4. Iwamura, Yoshiro & Tanimoto, Jun, 2018. "Realistic decision-making processes in a vaccination game," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 494(C), pages 236-241.
    5. Kabir, K.M. Ariful & Kuga, Kazuki & Tanimoto, Jun, 2019. "Effect of information spreading to suppress the disease contagion on the epidemic vaccination game," Chaos, Solitons & Fractals, Elsevier, vol. 119(C), pages 180-187.
    6. Jena, Rajarama Mohan & Chakraverty, Snehashish & Baleanu, Dumitru, 2021. "SIR epidemic model of childhood diseases through fractional operators with Mittag-Leffler and exponential kernels," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 182(C), pages 514-534.
    7. Dehghani, Sedigheh & Nazarimehr, Fahimeh & Jafari, Sajad, 2021. "How can cultural conditions affect society’s decisions?," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 582(C).
    8. Alam, Muntasir & Tanaka, Masaki & Tanimoto, Jun, 2019. "A game theoretic approach to discuss the positive secondary effect of vaccination scheme in an infinite and well-mixed population," Chaos, Solitons & Fractals, Elsevier, vol. 125(C), pages 201-213.
    9. Kabir, K.M. Ariful & Tanimoto, Jun, 2019. "Evolutionary vaccination game approach in metapopulation migration model with information spreading on different graphs," Chaos, Solitons & Fractals, Elsevier, vol. 120(C), pages 41-55.
    10. 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.
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