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Mathematical theories of populations : demographics, genetics, and epidemics / Frank Hoppensteadt.

SIAM Society for Industrial and Applied Mathematics Books Available online

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Format:
Book
Author/Creator:
Hoppensteadt, Frank C. (Frank Charles), 1938-
Contributor:
Society for Industrial and Applied Mathematics.
Series:
CBMS-NSF regional conference series in applied mathematics ; 20.
CBMS-NSF regional conference series in applied mathematics ; 20
Language:
English
Subjects (All):
Population--Mathematical models.
Population.
Population genetics.
Epidemics.
Physical Description:
1 electronic text (ix, 72 p.) : ill., digital file.
Place of Publication:
Philadelphia, Pa. : Society for Industrial and Applied Mathematics (SIAM, 3600 Market Street, Floor 6, Philadelphia, PA 19104), 1975.
Language Note:
English
System Details:
Mode of access: World Wide Web.
System requirements: Adobe Acrobat Reader.
Summary:
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.
Contents:
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.
Notes:
Bibliographic Level Mode of Issuance: Monograph
Includes bibliographical references.
Title from title screen, viewed 04/05/2011.
ISBN:
1-61197-048-2
Publisher Number:
CB20 SIAM

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