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TitleMathematical Approaches for Emerging and Reemerging Infectious Diseases: Models, Methods, and Theory [electronic resource] / edited by Carlos Castillo-Chavez, Sally Blower, Pauline van den Driessche, Denise Kirschner, Abdul-Aziz Yakubu
ImprintNew York, NY : Springer New York : Imprint: Springer, 2002
Connect tohttp://dx.doi.org/10.1007/978-1-4613-0065-6
Descript X, 377 p. online resource

SUMMARY

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 proยญ ceedings of the two-day tutorial which preceded the workshop "Introduction to Epidemiology and Immunology" appears as IMA Volume 125: Mathยญ 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 BIยญ OLOGY. " I would like to thank Carlos Castillo-Chavez (Director of the Mathยญ ematical and Theoretical Biology Institute and a member of the Departยญ 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, Uniยญ 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, esยญ 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 (Matheยญ matics, Howard University) for serving as co-editor of the proceedings. I thank Simon A. Levin (Ecology and Evolutionary Biology, Princeton Uniยญ versity) for providing an introduction


CONTENT

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


Medicine Epidemiology Biomathematics Medicine & Public Health Epidemiology Mathematical and Computational Biology Physiological Cellular and Medical Topics



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