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Mathematical Theories of Populations

Mathematical Theories of Populations
Deomgraphics, Genetics, and Epidemics

$36.99 (C)

Part of CBMS-NSF Regional Conference Series in Applied Mathematics

  • Date Published: January 1987
  • availability: This item is not supplied by Cambridge University Press in your region. Please contact Soc for Industrial & Applied Mathematics for availability.
  • format: Paperback
  • isbn: 9780898710175

$ 36.99 (C)
Paperback

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  • 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.

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    Product details

    • Date Published: January 1987
    • format: Paperback
    • isbn: 9780898710175
    • length: 80 pages
    • dimensions: 255 x 178 x 100 mm
    • weight: 0.3kg
    • availability: This item is not supplied by Cambridge University Press in your region. Please contact Soc for Industrial & Applied Mathematics for availability.
  • Table of 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.

  • Author

    Frank Hoppensteadt

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