Mathematical theories of populations : demographics, genetics, and epidemics /


Frank Hoppensteadt.
Bok Engelsk 1975 F. C. Hoppensteadt
Annen tittel
Utgitt
Philadelphia, Pa. : : Society for Industrial and Applied Mathematics (SIAM, 3600 Market Street, Floor 6, Philadelphia, PA 19104), , 1975.
Omfang
1 electronic text (ix, 72 p.) : : ill., digital file.
Opplysninger
Bibliographic Level Mode of Issuance: Monograph. - 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.
Emner
Epidemics
Population genetics
Population - Mathematical models
Business & Economics
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Dewey
ISBN
0898710170

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