Modern infectious disease epidemiology has a strong history of using mathematics both for
prediction and to gain a deeper understanding. However the study of infectious diseases is …

Mathematical analysis and modelling is central to infectious disease epidemiology. Here, we
provide an intuitive introduction to the process of disease transmission, how this stochastic …

This book provides a systematic introduction to the fundamental methods and techniques
and the frontiers of? along with many new ideas and results on? infectious disease …

Mathematical models are ubiquitous in the study of the transmission dynamics of infectious
diseases, In particular, the classic'susceptible-infectious-recovered'(SIR<) paradigm …

Mathematical modeling is critical to our understanding of how infectious diseases spread at
the individual and population levels. This book gives readers the necessary skills to correctly …

We revisit the susceptible-infectious-recovered/removed (SIR) model which is one of the
simplest compartmental models. Many epidemological models are derivatives of this basic …

Empirical records of epidemics reveal that fluctuations are important factors for the spread
and prevalence of infectious diseases. The exact manner in which fluctuations affect …

There is a long tradition of using mathematical models to generate insights into the
transmission dynamics of infectious diseases and assess the potential impact of different …

Epidemiological models are dominated by compartmental models, of which SIR formulations
are the most commonly used. These formulations can be continuous or discrete (in either the …

Early mathematical representations of infectious disease dynamics assumed a single, large,
homogeneously mixing population. Over the past decade there has been growing interest in …