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Effect of vaccination strategies on the dynamic behavior of epidemic spreading and vaccine coverage

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  • Cai, Chao-Ran
  • Wu, Zhi-Xi
  • Guan, Jian-Yue

Abstract

The transmission of infectious, yet vaccine-preventable, diseases is a typical complex social phenomenon, where the increasing level of vaccine update in the population helps to inhibit the epidemic spreading, which in turn, however, discourages more people to participate in vaccination campaigns, due to the “externality effect” raised by vaccination. We herein study the impact of vaccination strategies, pure, continuous (rather than adopt vaccination definitely, the individuals choose to taking vaccine with some probabilities), or continuous with randomly mutation, on the vaccination dynamics with a spatial susceptible-vaccinated-infected-recovered (SVIR) epidemiological model. By means of extensive Monte-Carlo simulations, we show that there is a crossover behavior of the final vaccine coverage between the pure-strategy case and the continuous-strategy case, and remarkably, both the final vaccination level and epidemic size in the continuous-strategy case are less than them in the pure-strategy case when vaccination is cheap. We explain this phenomenon by analyzing the organization process of the individuals in the continuous-strategy case in the equilibrium. Our results are robust to the SVIR dynamics defined on other spatial networks, like the Erdős–Rényi and Barabási–Albert networks.

Suggested Citation

  • Cai, Chao-Ran & Wu, Zhi-Xi & Guan, Jian-Yue, 2014. "Effect of vaccination strategies on the dynamic behavior of epidemic spreading and vaccine coverage," Chaos, Solitons & Fractals, Elsevier, vol. 62, pages 36-43.
  • Handle: RePEc:eee:chsofr:v:62-63:y:2014:i::p:36-43
    DOI: 10.1016/j.chaos.2014.04.005
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    References listed on IDEAS

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    1. Zhang, Haifeng & Fu, Feng & Zhang, Wenyao & Wang, Binghong, 2012. "Rational behavior is a ‘double-edged sword’ when considering voluntary vaccination," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 391(20), pages 4807-4815.
    2. Bin Wu & Feng Fu & Long Wang, 2011. "Imperfect Vaccine Aggravates the Long-Standing Dilemma of Voluntary Vaccination," PLOS ONE, Public Library of Science, vol. 6(6), pages 1-7, June.
    3. Zhang, Gui-Qing & Sun, Qi-Bo & Wang, Lin, 2013. "Noise-induced enhancement of network reciprocity in social dilemmas," Chaos, Solitons & Fractals, Elsevier, vol. 51(C), pages 31-35.
    4. Perc, Matjaž & Grigolini, Paolo, 2013. "Collective behavior and evolutionary games – An introduction," Chaos, Solitons & Fractals, Elsevier, vol. 56(C), pages 1-5.
    5. Liu, Xu-Sheng & Guan, Jian-Yue & Wu, Zhi-Xi, 2013. "Effects of limited interactions between individuals on cooperation in spatial evolutionary prisoner’s dilemma game," Chaos, Solitons & Fractals, Elsevier, vol. 56(C), pages 106-112.
    6. Pang, Guoping & Chen, Lansun, 2007. "A delayed SIRS epidemic model with pulse vaccination," Chaos, Solitons & Fractals, Elsevier, vol. 34(5), pages 1629-1635.
    7. Meng, Xinzhu & Jiao, Jianjun & Chen, Lansun, 2009. "Two profitless delays for an SEIRS epidemic disease model with vertical transmission and pulse vaccination," Chaos, Solitons & Fractals, Elsevier, vol. 40(5), pages 2114-2125.
    8. Carol Y. Lin, 2008. "Modeling Infectious Diseases in Humans and Animals by KEELING, M. J. and ROHANI, P," Biometrics, The International Biometric Society, vol. 64(3), pages 993-993, September.
    9. Zhang, Yan, 2013. "The impact of other-regarding tendencies on the spatial vaccination game," Chaos, Solitons & Fractals, Elsevier, vol. 56(C), pages 209-215.
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    Cited by:

    1. 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.
    2. Ding, Hong & Xu, Jia-Hao & Wang, Zhen & Ren, Yi-Zhi & Cui, Guang-Hai, 2018. "Subsidy strategy based on history information can stimulate voluntary vaccination behaviors on seasonal diseases," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 503(C), pages 390-399.
    3. Shams, Bita & Khansari, Mohammad, 2015. "On the impact of epidemic severity on network immunization algorithms," Theoretical Population Biology, Elsevier, vol. 106(C), pages 83-93.
    4. Yang, Han-Xin & Tang, Ming & Wang, Zhen, 2018. "Suppressing epidemic spreading by risk-averse migration in dynamical networks," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 490(C), pages 347-352.

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