Epidemic Models

Their Structure and Relation to Data

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Hardcover | 11 September 1995

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Hardcover
444 Pages

Dimensions(cm)
23.4 x 16.2 x 3.3

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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.

Industry Reviews

"The book is a nice reference work for students and researchers interested in epidemic models." JASA

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Preface
Introduction
Conceptual Framework
Some problems in the theory of infectious disease transmission and control
The structure of epidemic models
Coupling methods in epidemic theory
Collective epidemic processes: a general modelling approach to the final outcome of SIR epidemics
The threshold concept in deterministic and stochastic models
How does transmission of infection depend on population size?
The legacy of Kermack and McKendrick
Spatial Models
Incorporating spatial components into models of epidemic spread
Velocities of epidemic spread
Spatial epidemic models
A perturbation approach to nonlinear deterministic epidemic waves
Epidemic plant diseases: a stochastic model of leaf and stem lesion
Nonlinear Time and Space-Time Dynamics
Detecting nonlinearity and chaos in epidemic data
Seasonality, demography and the dynamics of measles in developed countries
Heterogeneity in Human Diseases
Grouping in population models
Core groups and R0s for subgroups in heterogeneous SIS and SI models
Data driven network models for the spread of disease
The effect of antigenic diversity on endemic prevalence
Data Analysis: Estimation and Prediction
Statistical challenges of epidemic data
Primary components of epidemic models
Estimation and prediction in tropical disease control: the example of onchocerciasis
Some current trends in estimating vaccine efficacy
Operational modelling of HIV/AIDS to assist public health control
Appendix
Problem areas
Table of Contents provided by Publisher. All Rights Reserved.

Epidemic Models

Their Structure and Relation to Data

At a Glance

Hardcover

Industry Reviews

Shipping

How to return your order

Defective items

You Can Find This Book In

Other Editions and Formats

Paperback

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New Perspectives in Statistical Modeling

Mathematical and Statistical Methods for Actuarial Sciences

Mathematical and Statistical Methods for Actuarial Sciences

Applied Multivariate Statistical Analysis

Foundations of Statistics

Data Assimilation

Methods, Modeling and Applications

Introduction to Medical Statistics

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