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An index to quantify individual social responsibility in the decision to be vaccinated
Fernando Daniel Córdova-Lepe1, Juan Pablo Gutiérrez Jara2, María Teresa Muñoz Quezada3
1Facultad de Ciencias Básicas, Universidad Católica del Maule, Región del Maule, Chile. Address: Avenida San Miguel 3605, Talca, Región del Maule, Chile.
Abstract:
In the context of generic infectious disease studies, the aim of this paper is to quantify and represent the individual social responsibility based on whether or not a single individual is vaccinated. Although the objective of this study is merely educational the approach implemented is based on a classical mathematical model named S.I.R. (Susceptible-Infected-Recovered) using an impulsive vaccination strategy. Dates of vaccination and fraction of individuals vaccinated are used as parameters. In addition, numerical simulations are conducted to represent the outcomes regarding the reduction of infected cases through tables and graphs.
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