Abstract

AbstractThis chapter presents the fundamentals of mathematical epidemiology and vaccination games. Mathematical epidemiology is based on a set of ordinary differential equations (ODEs) that are used to depict the global time evolution of a disease. This field has roots back to the SIR model of Kermack and McKendrick (1927), which was established in 1927. The vaccination game is a unified framework that combines mathematical epidemiology with evolutionary game theory in order to describe how human behavior influences the dynamics of disease spread and how these dynamics affect behavior in turn. Fu and his colleagues (2011) introduced the “vaccination game” framework based on multi-agent simulation (MAS).

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