Controllability of selection-mutation systems

Biosystems. 2002 Mar-May;65(2-3):113-21. doi: 10.1016/s0303-2647(02)00012-6.

Abstract

The well-known Fisher type selection-mutation model is studied from the point of view of mathematical systems theory. Mutation rates are considered as control functions. Based on a general sufficient condition for local controllability of non-linear systems with invariant manifold, a method is proposed to guarantee the controllability of the considered population into a polymorphic equilibrium.

Publication types

  • Research Support, Non-U.S. Gov't

MeSH terms

  • Mutation*
  • Selection, Genetic*