4.5 Article

Voluntary vaccination may not stop monkeypox outbreak: A game-theoretic model

Journal

PLOS NEGLECTED TROPICAL DISEASES
Volume 16, Issue 12, Pages -

Publisher

PUBLIC LIBRARY SCIENCE
DOI: 10.1371/journal.pntd.0010970

Keywords

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Funding

  1. VCU REU program in mathematics - National Science Foundation [DMS1950015]

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Monkeypox, a viral disease, has spread to nearly 60 countries worldwide. Without vaccination, monkeypox can become endemic in previously unaffected regions, including the United States. Not vaccinating often seems to be the optimal solution from an individual's perspective. Moreover, without centrally mandated minimal vaccination rates, the population could easily revert to not vaccinating.
Monkeypox (MPX) is a viral zoonotic disease that was endemic to Central and West Africa. However, during the first half of 2022, MPX spread to almost 60 countries all over the world. Smallpox vaccines are about 85% effective in preventing MPX infections. Our objective is to determine whether the vaccines should be mandated or whether voluntary use of the vaccine could be enough to stop the MPX outbreak. We incorporate a standard SVEIR compartmental model of MPX transmission into a game-theoretical framework. We study a vaccination game in which individuals decide whether or not to vaccinate by assessing their benefits and costs. We solve the game for Nash equilibria, i.e., the vaccination rates the individuals would likely adopt without any outside intervention. We show that, without vaccination, MPX can become endemic in previously non-endemic regions, including the United States. We also show that to not vaccinate is often an optimal solution from the individual's perspective. Moreover, we demonstrate that, for some parameter values, there are multiple equilibria of the vaccination game, and they exhibit a backward bifurcation. Thus, without centrally mandated minimal vaccination rates, the population could easily revert to no vaccination scenario. Author summary Monkeypox (MPX) is a viral disease that recently spread to almost 60 countries all over the world. Our main goal is to determine whether the smallpox vaccines, which are about 85% effective against MPX, should be mandated or whether voluntary use of the vaccine could be enough to stop the MPX outbreak. We study a vaccination game in which individuals decide whether or not to vaccinate by assessing their benefits and costs. We show that, without vaccination, MPX can become endemic in previously non-endemic regions, including the United States. We also show that to not vaccinate is often an optimal solution from the individual's perspective. Moreover, we demonstrate that, for some parameter values, there are multiple solutions of the vaccination game and without centrally mandated minimal vaccination rates, the population could easily revert to no vaccination scenario.

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