Résumé
Now available in paperback. This general introduction to
the ideas and techniques required for the mathematical
modelling of diseases begins with an outline of some
disease statistics dating from Daniel Bernoulli's 1760
smallpox data. The authors then describe simple
deterministic and stochastic models in continuous and
discrete time for epidemics taking place in either
homogeneous or stratified (non-homogeneous) populations.
Several techniques for constructing and analysing models
are provided, mostly in the context of viral and bacterial
diseases of human populations. These models are contrasted
with models for rumours and vector-borne diseases like
malaria. Questions of fitting data to models, and their use
in understanding 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, which will be useful for students taking courses in
mathematical biology who have some basic knowledge of
probability and statistics.
Contents
- 1. Some history
- 2. Deterministic models
- 3. Stochastic models in continuous time
- 4. Stochastic models in discrete time
- 5. Rumors: modelling spread and its cessation
- 6. Fitting epidemic data
- 7. The control of epidemics.
L'auteur - D.J. Daley
Daryl Daley is a Senior Fellow in the Centre for
Mathematics and Applications at the Australian National
University, with research publications in a diverse range
of applied probability models and their analysis;
he is co-author with Joe Gani of an introductory text in
epidemic modelling.
Caractéristiques techniques
| PAPIER | |
| Éditeur(s) | Cambridge University Press |
| Auteur(s) | D.J. Daley, J. Gani |
| Parution | 16/10/2001 |
| Nb. de pages | 214 |
| Format | 15 x 22,8 |
| Couverture | Broché |
| Poids | 322g |
| Intérieur | Noir et Blanc |
| EAN13 | 9780521014670 |
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