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Population Dynamics

  • Frank C. Hoppensteadt
  • Charles S. Peskin
Part of the Texts in Applied Mathematics book series (TAM, volume 10)

Abstract

Knowing about how populations live and respond to external signals is important in a society where government, economics and commerce are based on population projections and descriptions; and in medicine, science, and agriculture, where cell populations are targets for the treatment of diseases and for production in biotechnology. We study here two important realms of biology: microbial populations and animal populations. Mathematical aspects of all population phenomena usually involve descriptions of population sizes and ways to extrapolate present knowledge to information about the future, and they involve descriptions of population structures and ways to determine and project them into the future.

Keywords

Washout Rate Mitotic Cycle Intrinsic Growth Rate Maximum Sustained Yield Renewal Equation 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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Annotated References

  1. Escherechia Coli and Salmonella (Neidhardt, et al., eds.): Amer. Soc. Microbiol., Washington, 1994.Google Scholar
  2. Gerhardt, P., et al.: Manual of Methods for General Bacteriology, Am. Soc. Microbiol., Washington, 1981.Google Scholar
  3. Keyfitz, N., and Flieger, W.: Populations: Fact and Methods of Demography, W.H. Freeman, San Francisco. 1971.Google Scholar
  4. Hoppensteadt, F.C.: Mathematical Methods of Population Biology. Cambridge University Press, 1982.Google Scholar
  5. Hoppensteadt, F.C.: Mathematical Theories of Populations: Demographics, Genetics, and Epidemics, SIAM Publics, Philadelphia, 1975.CrossRefzbMATHGoogle Scholar
  6. Clark, C.W.: Bioeconomics: Modeling and Fishery Management. Wiley-Inter science. New York, 1985.Google Scholar
  7. Smith, H., Waltman, P.: The Mathematical Theory of Chemostats, Cambridge University Press, 1997.Google Scholar
  8. Feller, W.: The Theory of Probability and its Applications, J. Wiley, New York, 1969.Google Scholar
  9. Gleick, J.: Chaos: The Making of a New Science, Viking Press, New York, 1987zbMATHGoogle Scholar

Copyright information

© Springer-Verlag New York, Inc. 2002

Authors and Affiliations

  • Frank C. Hoppensteadt
    • 1
  • Charles S. Peskin
    • 2
  1. 1.Center for Systems Science and EngineeringArizona State UniversityTempeUSA
  2. 2.Department of Mathematics Courant Institute of Mathematical SciencesNew York UniversityNew YorkUSA

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