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Epidemic modelling: an introduction. (English) Zbl 0922.92022
Cambridge Studies in Mathematical Biology. 15. Cambridge: Cambridge University Press. 213 p. (1999).
This monograph is designed to introduce probabilists and statisticians to the diverse models describing the spread of epidemic and rumours in a population. Throughout the book, the emphasis is on the mathematical modelling of epidemics and rumours, and the evolution of this modelling over the past three centuries.
Chapter 1 is a historical introduction to the subject, with illustrations of the most common approaches to modelling. This is followed in Chapter 2 by an account of deterministic models, in both discrete and continuous time. Chapter 3 analyses stochastic models in continuous time. In Chapter 4, the main stochastic models in discrete time, namely the chain binomial models are studied. Chapter 5 considers models for the propagation and cessation of rumours and Chapter 6, which is essentially statistical, is concerned with the fit of various models to observed epidemic data. The book ends with Chapter 7, which describes three main methods of controlling epidemics. A list of references that also incorporates an author index and a subject index are provided at the end.
Questions of fitting data to models, and the use of models are discussed. Exercises and complementary results at the end of each chapter extend the scope of the text, which will be very useful for students and researchers in mathematical biology.

92D30 Epidemiology
92-01 Introductory exposition (textbooks, tutorial papers, etc.) pertaining to biology
62P10 Applications of statistics to biology and medical sciences; meta analysis