Interplay between cost and benefits triggers nontrivial vaccination uptake

Physical Review. E
Benjamin SteineggerAlex Arenas

Abstract

The containment of epidemic spreading is a major challenge in science. Vaccination, whenever available, is the best way to prevent the spreading, because it eventually immunizes individuals. However, vaccines are not perfect, and total immunization is not guaranteed. Imperfect immunization has driven the emergence of antivaccine movements that totally alter the predictions about the epidemic incidence. Here, we propose a mathematically solvable mean-field vaccination model to mimic the spontaneous adoption of vaccines against influenzalike diseases and the expected epidemic incidence. The results are in agreement with extensive Monte Carlo simulations of the epidemics and vaccination coevolutionary processes. Interestingly, the results reveal a nonmonotonic behavior on the vaccination coverage that increases with the imperfection of the vaccine and after decreases. This apparent counterintuitive behavior is analyzed and understood from stability principles of the proposed mathematical model.

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Citations

Jan 2, 2020·Proceedings. Mathematical, Physical, and Engineering Sciences·Md Rajib ArefinJun Tanimoto
Jan 23, 2020·Physical Review. E·D Soriano-PañosJ Gómez-Gardeñes
Jul 22, 2020·Physical Review. E·Mozhgan KhanjanianpakClaudio Castellano
Feb 6, 2020·Chaos·Iacopo IacopiniVito Latora
Jul 25, 2019·International Journal of Environmental Research and Public Health·Sheryl Le ChangMikhail Prokopenko
Jul 25, 2019·Physical Review. E·D Soriano-PañosJ Gómez-Gardeñes
Nov 23, 2021·Philosophical Transactions. Series A, Mathematical, Physical, and Engineering Sciences·Benjamin SteineggerAlex Arenas

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