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Mathematical Approaches for Emerging and Reemerging Infectious Diseases : Models, Methods, and Theory - Carlos Castillo-Chavez

Mathematical Approaches for Emerging and Reemerging Infectious Diseases

Models, Methods, and Theory

By: Carlos Castillo-Chavez (Editor), Dawn BIes (Editor), Pauline Van De Driessche (Editor), Sally Blower (Editor), Denise Kirschner (Editor)

Hardcover Published: 2nd May 2002
ISBN: 9780387953557
Number Of Pages: 377

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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.

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)

New directions in the mathematics of infectious diseases
Fred Brauer
Kenneth Cooke
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 antigenetically diverse pathogens
Dynamics of multiple strains of infectious agents coupled by cross-immunity
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
Table of Contents provided by Publisher. All Rights Reserved.

ISBN: 9780387953557
ISBN-10: 0387953558
Series: The IMA Volumes in Mathematics and its Applications
Audience: Professional
Format: Hardcover
Language: English
Number Of Pages: 377
Published: 2nd May 2002
Publisher: Springer-Verlag New York Inc.
Country of Publication: US
Dimensions (cm): 23.5 x 15.5  x 2.54
Weight (kg): 0.75