Mathematical theories of populations: demographics, genetics, and epidemics
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Bibliographic Details
Main Author: Hoppensteadt, Frank C. 1938- (Author)
Format: Electronic eBook
Language:English
Published: Philadelphia, Pa. Society for Industrial and Applied Mathematics (SIAM, 3600 Market Street, Floor 6, Philadelphia, PA 19104) 1975
Series:CBMS-NSF regional conference series in applied mathematics 20
Subjects:
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Item Description:Mode of access: World Wide Web. - System requirements: Adobe Acrobat Reader
Includes bibliographical references
The equations of population dynamics: age dependent population growth -- Analysis of the birth rate -- A model of a self-limiting population -- A two-sex model -- Deterministic models in genetics: a brief introduction to Mendelian genetics -- The one-locus, two-allele model -- Age dependent population genetics -- Propagation of a gene in a spatially distributed population -- Theories of epidemics: general theory of contagious phenomena -- Qualitative behavior of deterministic epidemics
Mathematical theories of populations have appeared both implicitly and explicitly in many important studies of populations, human populations as well as populations of animals, cells and viruses. They provide a systematic way for studying a population's underlying structure. A basic model in population age structure is studied and then applied, extended and modified, to several population phenomena such as stable age distributions, self-limiting effects, and two-sex populations. Population genetics are studied with special attention to derivation and analysis of a model for a one-locus, two-allele trait in a large randomly mating population. The dynamics of contagious phenomena in a population are studied in the context of epidemic diseases
Physical Description:1 Online-Ressource (ix, 72 Seiten)
ISBN:0898710170
9780898710175
DOI:10.1137/1.9781611970487

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