Controllability of selection-mutation systems.
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.
Scarelli
Antonino
A
Department of Environmental Science, Faculty of Science, University of Tuscia, Via S Camillo de Lellis, 01100, Viterbo, Italy. scarelli@unitus.it
Varga
Zoltán
Z
D009154:Mutation; D012641:Selection, Genetic