Journal of Mathematical Biology

, Volume 3, Issue 1, pp 5–7

On the differential equations of species in competition

  • S. Smale

DOI: 10.1007/BF00307854

Cite this article as:
Smale, S. J. Math. Biology (1976) 3: 5. doi:10.1007/BF00307854


It is shown that the ordinary differential equation commonly used to describe competing species are compatible with any dynamical behavior provided the number of species in very large.

Copyright information

© Springer-Verlag 1976

Authors and Affiliations

  • S. Smale
    • 1
  1. 1.Department of MathematicsUniversity of CaliforniaBerkeleyUSA