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castillo-chavez carlos (curatore); blower sally (curatore); driessche pauline van den (curatore); kirschner denise (curatore); yakubu abdul-aziz (curatore) - mathematical approaches for emerging and reemerging infectious diseases: models, methods, and theory

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

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Dettagli

Genere:Libro
Lingua: Inglese
Editore:

Springer US

Pubblicazione: 05/2002
Edizione: 2002





Trama

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.




Sommario

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.










Altre Informazioni

ISBN:

9780387953557

Condizione: Nuovo
Collana: The IMA Volumes in Mathematics and its Applications
Dimensioni: 235 x 155 mm
Formato: Copertina rigida
Illustration Notes:X, 377 p.
Pagine Arabe: 377
Pagine Romane: x


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