Modeling Predator—Prey Systems

  • Michael L. Deaton
  • James J. Winebrake
Part of the Modeling Dynamic Systems book series (MDS)

Abstract

Chapter Objectives—

After you finish this chapter,you should be able to:
  1. 1.

    Describe qualitatively and mathematically the growth of populations with and without carrying capacity constraints.

     
  2. 2.

    Describe qualitatively and mathematically the Lotka-Volterra predator-prey model.

     
  3. 3.

    Explain why predator prey relationships often exhibit oscillatory behavior.

     
  4. 4.

    Manipulate variables in a dynamic predator prey model and explain the outcomes from these perturbations.

     
  5. 5.

    Build or enhance a predator prey model to include multiple predators or multiple prey.

     

Keywords

Hunt 

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References

  1. Crawley, M.J. (ed.). 1992. Natural Enemies: The Population biology of Predators, Parasites and Diseases. Boston: Blackwell Scientific Publications.Google Scholar
  2. Haberman, R. 1977. Mathematical Models: Mechanical Vibrations,Population Dynamics, and Traffic Flow. New Jersey: Prentice-Hall, Inc.Google Scholar
  3. Lotka, A. J. 1925. Elements of Physical Biology. Baltimore: Williams and Wilkins.Google Scholar
  4. Smith, R.L., and Smith, TM. 1998. Elements of Ecology,Fourth Edition. New York: Addison Wesley Longman, Inc.Google Scholar
  5. Southern, H.N. 1970.The natural control of a population of tawny owls (Strix aluco). J. Zool. 162:197–285.CrossRefGoogle Scholar
  6. Volterra, V. 1926. Variation and fluctuations of the number of individuals in animal species living together. In Animal Ecology, ed. R.N. Chapman, pp. 409–48. London: McGraw Hill.Google Scholar

Copyright information

© Springer Science+Business Media New York 2000

Authors and Affiliations

  • Michael L. Deaton
    • 1
  • James J. Winebrake
    • 1
  1. 1.Integrated Science and Technology ProgramJames Madison UniversityHarrisonburgUSA

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