Modeling Predator—Prey Systems

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


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.



Predator Species Prey Population Predator Population Wildlife Refuge Deer Population 
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.


Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.


  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

Personalised recommendations