Overview

This book grew out of the discussions and presentations that began during the Workshop on Emerging and Reemerging Diseases (May 17-21, 1999) sponsored by the Institute for Mathematics and its Application (IMA) at the University of Minnesota with the support of NIH and NSF. The workshop started with a two-day tutorial session directed at ecologists, epidemiologists, immunologists, mathematicians, and scientists interested in the study of disease dynamics. The core of this second volume, Volume 126, covers research contributions on the use of dynamical systems (deterministic discrete, delay, PDEs, and ODEs models) and stochastic models in disease dynamics. Contributions motivated by the study of diseases like influenza, HIV, tuberculosis, and macroparasitic like schistosomiasis are also included. This second volume requires additional mathematical sophistication, and graduate students in applied mathematics, scientists in the natural, social, and health sciences, or mathematicians who want to enter the field of mathematical and theoretical epidemiology will find it useful. The collection of contributors includes many who have been in the forefront of the development of the subject.

Full Product Details

Author:   Carlos Castillo-Chavez ,  Sally Blower ,  Pauline van den Driessche ,  Denise Kirschner
Publisher:   Springer-Verlag New York Inc.
Imprint:   Springer-Verlag New York Inc.
Edition:   2002 ed.
Volume:   126
Dimensions:   Width: 15.50cm , Height: 2.20cm , Length: 23.50cm
Weight:   0.745kg
ISBN:  

9780387953557

ISBN 10:   0387953558
Pages:   377
Publication Date:   02 May 2002
Audience:   College/higher education ,  Professional and scholarly ,  Undergraduate ,  Postgraduate, Research & Scholarly
Format:   Hardback
Publisher's Status:   Active
Availability:   In Print  
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Table of Contents

New directions in the mathematics of infectious disease.- Fred Brauer: The man and his mathematics.- Kenneth L. Cooke: Researcher, educator par excellence.- Maximal prevalence and the basic reproduction number in simple epidemics.- The transition through stages with arbitrary length distributions, and applications in epidemics.- Measles outbreaks are not chaotic.- Epidemics among a population of households.- Infection transmission dynamics and vaccination program effectiveness as a function of vaccine effects in individuals.- The influence of different forms of cross-protective immunity on the population dynamics of antigenically diverse pathogens.- Dynamics of multiple strains of infectious agents coupled by cross-immunity: A comparison of models.- Virulence evolution in macro-parasites.- Mathematical models for schistosomiasis with delays and multiple definitive hosts.- Infectious disease models with chronological age structure and epidemiological age structure.- Effects of genetic heterogeneity on HIV transmission in homosexual populations.- Age-structured core group model and its impact on STD dynamics.- Global dynamics of tuberculosis models with density dependent demography.- Global stability in some SEIR epidemic models.- The global stability analysis for an SIS model with age and infection age structures.- Endemic threshold and stability in an evolutionary epidemic model.- Epilogue.- List of tutorial/workshop participants.- IMA volume 125 contents: Mathematical approaches for emerging and reemerging infectious diseases: an introduction.

Reviews

<p>From the reviews: <p> <p> This two-volume set is based on a week-long workshop sponsored by the Institute of Mathematics and its Applications (the IMA) and held at the University of Minnesota in May 1999. ??? There is a lot of valuable work in this two-volume set which could meet the intended aim of introducing people to research-level mathematical epidemiology. (Geoff Aldis, UK Nonlinear News, November 2002)

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