Journal of Mathematical Biology

, Volume 23, Issue 1, pp 41–53

The selection mutation equation


  • Josef Hofbauer
    • Institut für MathematikUniversität Wien

DOI: 10.1007/BF00276557

Cite this article as:
Hofbauer, J. J. Math. Biology (1985) 23: 41. doi:10.1007/BF00276557


Fisher's Fundamental Theorem of Natural Selection is extended to the selection mutation model with mutation rates ɛijii.e. depending only on the target gene, by constructing a simple Lyapunov function. For other mutation rates stable limit cycles are possible.

Key words

Fundamental theoremMaximum principleShahshahani gradientsLimit cycles

Copyright information

© Springer-Verlag 1985