Controllability of selection-mutation systems |
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Authors: | Scarelli Antonino Varga Zoltán |
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Institution: | Department of Environmental Science, Faculty of Science, University of Tuscia, Via S Camillo de Lellis, 01100, Viterbo, Italy. scarelli@unitus.it |
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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. |
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