Overview

"This IMA Volume in Mathematics and its Applications MATHEMATICAL APPROACHES FOR EMERGING AND REEMERGING INFECTIOUS DISEASES: MODELS, AND THEORY METHODS is based on the proceedings of a successful one week workshop. The pro­ ceedings of the two-day tutorial which preceded the workshop ""Introduction to Epidemiology and Immunology"" appears as IMA Volume 125: Math­ ematical Approaches for Emerging and Reemerging Infectious Diseases: An Introduction. The tutorial and the workshop are integral parts of the September 1998 to June 1999 IMA program on ""MATHEMATICS IN BI­ OLOGY. "" I would like to thank Carlos Castillo-Chavez (Director of the Math­ ematical and Theoretical Biology Institute and a member of the Depart­ ments of Biometrics, Statistics and Theoretical and Applied Mechanics, Cornell University), Sally M. Blower (Biomathematics, UCLA School of Medicine), Pauline van den Driessche (Mathematics and Statistics, Uni­ versity of Victoria), and Denise Kirschner (Microbiology and Immunology, University of Michigan Medical School) for their superb roles as organizers of the meetings and editors of the proceedings. Carlos Castillo-Chavez, es­ pecially, made a major contribution by spearheading the editing process. I am also grateful to Kenneth L. Cooke (Mathematics, Pomona College), for being one of the workshop organizers and to Abdul-Aziz Yakubu (Mathe­ matics, Howard University) for serving as co-editor of the proceedings. I thank Simon A. Levin (Ecology and Evolutionary Biology, Princeton Uni­ versity) for providing an introduction."

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:   Softcover reprint of the original 1st ed. 2002
Volume:   126
Dimensions:   Width: 15.50cm , Height: 2.00cm , Length: 23.50cm
Weight:   0.599kg
ISBN:  

9781461265504

ISBN 10:   1461265509
Pages:   377
Publication Date:   23 October 2012
Audience:   Professional and scholarly ,  Professional & Vocational
Format:   Paperback
Publisher's Status:   Active
Availability:   Manufactured on demand  
We will order this item for you from a manufactured on demand supplier.

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

"From the reviews: ""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)"

From the reviews: 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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