Epidemic Models: Their Structure and Relation to Data

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Denis Mollison, Mollison Denis
Cambridge University Press, 13.07.1995 - 424 Seiten
The problems of understanding and controlling disease present a range of mathematical challenges, from broad theoretical issues to specific practical ones, making epidemiology one of the most vibrant branches of applied biology. Progress in this field requires collaboration among leading researchers with a wide range of mathematical expertise and close involvement in applied fields across the social, medical and biological sciences. This volume surveys the current state of epidemic modeling in relation to basic aims such as understanding, prediction, and evaluation and implementation of control strategies. The book is divided into five parts, covering the conceptual framework, three major problem areas (space, nonlinearity, heterogeneity), and the direct relation of models to data. The contributors discuss a wide range of methodological issues, e.g. comparing different approaches to the modeling of heterogeneity and relations among different types of model; and different data analytic approaches, together with the availability and quality of the data they require.
 

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Inhalt

Klaus Dietz Some problems in the theory of infectious disease
3
Denis Mollison The structure of epidemic models
17
Frank Ball Coupling methods in epidemic theory
34
Ingemar Nåsell The threshold concept in deterministic
71
Mart de Jong Odo Diekmann and Hans Heesterbeek How does
84
Odo Diekmann Hans Metz and Hans Heesterbeek The legacy
95
Andrew Cliff Incorporating spatial components into models
119
Hans Metz and Frank van den Bosch Velocities of epidemic spread
150
Lynne Billard P W A Dayananda and Zhen Zhao Epidemic plant
215
Stephen Ellner Ronald Gallant and James Theiler
229
Bryan Grenfell Ben Bolker and Adam Kleczkowski Seasonality
248
Niels Becker Statistical challenges of epidemic data
339
Andrew Cairns Primary components of epidemic models
350
Hans Remme Soumbey Alley and Anton Plaisier Estimation
372
Ira Longini Elizabeth Halloran and Michael Haber
394
Norman Bailey Operational modelling of HIVAIDS
404

Richard Durrett Spatial epidemic models
187
Henry Daniels A perturbation approach to nonlinear
202
Problem areas
417
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