Mathematical Approaches for Emerging and Reemerging Infectious Diseases: Models, Methods, and Theory (eBook, PDF)

Redaktion: Castillo-Chavez, Carlos; Yakubu, Abdul-Aziz; Kirschner, Denise; Driessche, Pauline Van Den; Blower, Sally

• Format: PDF

Produktbeschreibung

This second volume includes research contributions on the use of dynamical systems and stochastic models in disease dynamics. Graduate students in applied mathematics, scientists in the natural, social, and health sciences or mathematicians who want to enter the field of mathematical or theoretical epidemiology will find it useful.

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Produktdetails

• Verlag: Springer US
• Seitenzahl: 377
• Erscheinungstermin: 6. Dezember 2012
• Englisch
• ISBN-13: 9781461300656
• Artikelnr.: 43986893

Inhaltsangabe

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.

Rezensionen

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)