Mathematical Tools for Understanding Infectious Disease Dynamics

By Odo Diekmann, H. Heesterbeek, Tom Britton. 2012

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Statistical physics of vaccination (2016, background): “The most well-known is the basic reproduction number (BRN) of infection, a dimensionless quantity universally denoted by R0, and intuitively defined as the expected number of secondary infection cases caused by a single typical infective case during his entire period of infectivity in a wholly susce”
Modeling infectious disease dynamics in the complex landscape of global health (2015, positive): “…as Markov chain Monte Carlo (MCMC) have become firmly established tools for parameter estimation from data in infectious disease models [e.g., ( 63 )], and Monte Carlo based methods will play a pivotal role in addressing the challenges that lie in reconciling predictions and observations ( 64…”
Analysis and Control of Epidemics: A Survey of Spreading Processes on Complex Networks (2015, background): “Deterministic Population Models The models presented next are perhaps the two most studied epidemic models in the literature and are covered in a large number of books [6], [8], [10]–[12], [37]–[44].”