Abstract
Widespread avoidance of the measles-mumps-rubella vaccination (MMR) demonstrates that the effectiveness of vaccination programs can be thwarted by public misperceptions of vaccine risk. By coupling game theory and epidemic models, we examine vaccination choice among populations stratified into vaccine skeptics and vaccine believers. The two behavioral groups are assumed to be heterogeneous with respect to their perceptions of vaccine and infection risks. We demonstrate that the pursuit of self-interest among vaccine skeptics often leads to vaccination levels that are suboptimal for a population, even if complete coverage is achieved among vaccine believers. Furthermore, as the number of vaccine skeptics increases, the probability of infection among vaccine skeptics increases initially, but it decreases once the vaccine skeptics begin receiving the vaccination, if both behavioral groups are vaccinated according to individual self-interest. This research illustrates the importance of public education on vaccine safety and infection risk in order to achieve vaccination levels that are sufficient to maintain herd immunity.
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Bauch, C.T. Bhattacharyya, S., Ball, R.F.: PLoS ONE 5(9), e12594 (2010)
Bellman, R.: Dynamic Programming. Princeton University Press, Princeton (1957)
Berger, B.E., Omer, S.B.: Hum. Vaccin. 6, 1016 (2010)
Bhattacharyya, S., Bauch, C.T.: J. Theor. Biol. 267, 276 (2010)
Centers for Disease Control and Prevention: Measles–United States, January 1-April 25, 2008. MMWR 57, 494–498 (2008)
Centers for Disease Control and Prevention: Increased transmission and outbreaks of measles–European Region, 2011. MMWR 60, 1605–1610 (2011)
Diekema, D.S.: Pediatrics 115, 1428 (2005)
d’Onofrio, A., Manfredi, P.: J. Theor. Biol. 264, 2, 237 (2010)
d’Onofrio, A., Manfredi, P., Poletti, P.: J. Theor. Biol. 273(1), 63 (2011)
Fine, P.E.M., Clarkson, J.A.: Amer. J. Epidemiol. 124, 1012 (1986)
Godlee, F., Smith, J., Marcovitch, H.: Wakefield’s article linking MMR vaccine and autism was fraudulent. Br. Med. J. 342, c7452 (2011)
Gust, D.A., Strine, T.W., Maurice, E., Smith, P., Yusuf, H., Wilkinson, M., Battaglia, M., Wright, R., Schwartz, B.: Pediatrics 114, e16 (2004)
Manfredi, P., Posta, P.D., d’Onofrio, A., Salinelli, E., Centrone, F., Meo, C., Poletti, P.: Vaccine 28, 98 (2009)
Miller, M.A., Redd, S., Hadler, S., Hinman, A.: Vaccine 16(20), 1917 (1998)
Nash, J.F.: Proc. Natl. Acad. Sci. USA 36(1), 48 (1950)
Omer, S.B., Salmon, D.A., Orenstein, W.A., deHart, M.P., Halsey, N.: N. Engl. J. Med. 360 1981 (2009)
Parker Fiebelkorn, A., Redd, S.B., Gallagher, K., Rota, P.A., Rota, J., Bellini, W., Seward, J.: J. Infect. Dis. 202, 1520 (2010)
Poland, G.A., Jacobson, R. M.: Vaccine 30(2), 103 (2012)
Reluga, T.: J. Biol. Dyn. 3, 515 (2009)
Shim, E., Grefenstette, J.J., Albert, S.M., Cakouros, B.E., Burke, D.S.: J. Theor. Biol. 295 194 (2012)
Shim, E., Kochin, B., Galvani, A.P.: Math. Biosci. Eng. 6, 841 (2009)
Shim, E., Meyers, L.A., Galvani, A.P.: BMC Public Health. 11, Suppl 1, S4 (2011)
Zhou, F., Reef, S., Massoudi, M., Papania, M.J., Yusuf, H.R., Bardenheier, B., Zimmerman, L., McCauley, M.M.: J. Infect. Dis. 189, Suppl 1, S131 (2004)
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We are grateful for the support by the National Institute of General Medical Sciences MIDAS grant 5U54GM088491-02. The funders had no role in study design, data collection and analysis, decision to publish, or preparation of the manuscript.
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Shim, E., Grefenstette, J.J., Albert, S.M., Cakouros, B.E., Bohn, L., Burke, D.S. (2013). Impact of Vaccine Behavior on the Resurgence of Measles. In: Manfredi, P., D'Onofrio, A. (eds) Modeling the Interplay Between Human Behavior and the Spread of Infectious Diseases. Springer, New York, NY. https://doi.org/10.1007/978-1-4614-5474-8_16
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DOI: https://doi.org/10.1007/978-1-4614-5474-8_16
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