Synopses & Reviews
This general introduction to the mathematical techniques needed to understand epidemiology begins with an historical outline of some disease statistics dating from Daniel Bernoulli's smallpox data of 1760. The authors then go on to describe simple deterministic and stochastic models in continuous and discrete time for epidemics taking place in either homogeneous or stratified (nonhomogeneous) populations. They offer a range of methods for constructing and analyzing models, mostly in the context of viral and bacterial diseases of human populations. These models are contrasted with models for rumors and macro-parasitic diseases. Questions of fitting data to models, and the use of models to understand methods for controlling the spread of infection, are discussed. Exercises and complementary results at the end of each chapter extend the scope of the text.
Review
"The book's emphasis is on mathematical techniques for the analysis of given models...Illustrations are simple, but relevant and clear...Although the authors claim that "the monograph id designed to introduce probabilists and statisticians to the diverse models describing the spread of epidemics and rumours in a population", the clarity of style of this monograph would certainly also make it suitable reading matter for many mathematical biologists...To my knowledge, Daley and Gani's monograph is the only recent book of this nature.Its excellence is, therefore fortunate." Canadian Journal of Infections Diseases
Review
'\"An excellent pedagogical resource for students and researchers...a lucid exposition of the basic mathematical methods required for the study of epidemic models. Students of mathematical biology...will find this work very appealing.\" Choice\"The book\'s emphasis is on mathematical techniques for the analysis of given models...Illustrations are simple, but relevant and clear...Although the authors claim that \"the monograph id designed to introduce probabilists and statisticians to the diverse models describing the spread of epidemics and rumours in a population\", the clarity of style of this monograph would certainly also make it suitable reading matter for many mathematical biologists...To my knowledge, Daley and Gani\'s monograph is the only recent book of this nature.Its excellence is, therefore fortunate.\" Canadian Journal of Infections Diseases\"a pleasing depth of material.\" Siam Review Vol 43/4'
Review
"An excellent pedagogical resource for students and researchers...a lucid exposition of the basic mathematical methods required for the study of epidemic models. Students of mathematical biology...will find this work very appealing." Choice
Review
"... the text offers a wealth of information regarding epidemic modeling ... making the book usable as a text for upperlevel graduate students in a program with a strong statistical foundation." Chance
Review
"a pleasing depth of material." Siam Review Vol 43/4
Synopsis
This is a general introduction to the mathematical modelling of diseases.
Synopsis
Now available in paperback. This is a general introduction to the ideas and techniques required for the mathematical modelling of diseases. Exercises and complementary results extend the scope of the text, which will be useful for students of mathematical biology who have some basic knowledge of probability and statistics.
Table of Contents
Preface; 1. Some history; 2. Deterministic models; 3. Stochastic models in continuous time; 4. Stochastic models in discrete time; 5. Rumours: modelling spread and its cessation; 6. Fitting epidemic data; 7. The control of epidemics; References and author index; Subject index.