Epidemic Models: Their Structure and Relation to DataThe 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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Epidemic Models: Their Structure and Relation to Data Denis Mollison,Mollison Denis Keine Leseprobe verfügbar - 1995 |
Häufige Begriffe und Wortgruppen
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