Mathematical Approaches for Emerging and Reemerging Infectious Diseases: Models, Methods, and Theory

ISBN-13: 9781461265504 / Angielski / Miękka / 2012 / 377 str.

Carlos Castillo-Chavez; Sally Blower; Pauline Van Den Driessche

Opis

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.

Recenzje

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)

Spis treści

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