Three Species Competition

  • James C. Frauenthal
Part of the The Umap Expository Monograph Series book series (UMAP)


Although the quadratic population models for two species were not very satisfactory in the cases of Predator-Prey and Mutualism, in the case of Competition we discovered the well accepted Principle of Competitive Exclusion. We will therefore choose to extend the simple quadratic model of competition to include three interacting species.


Equilibrium Point Librium Point Competitive Exclusion Incline Plane Stable Limit Cycle 


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  1. May, R.M. and W.J. Leonard, “Nonlinear Aspects of Competition Between Three Species”, SIAM Journal of Applied Mathematics, Volume 29, Number 2, pp. 243–253, September, 1975.MathSciNetMATHCrossRefGoogle Scholar

Copyright information

© Education Development Center, Inc. 1979

Authors and Affiliations

  • James C. Frauenthal
    • 1
  1. 1.Applied Mathematics and StatisticsState University of New YorkStony BrookUSA

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