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.
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.
Synopsis
This is a general introduction to the mathematical modelling of diseases.
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.