RUS  ENG
Full version
JOURNALS // Journal of Siberian Federal University. Mathematics & Physics // Archive

J. Sib. Fed. Univ. Math. Phys., 2008 Volume 1, Issue 3, Pages 231–235 (Mi jsfu22)

Identification of a Speciation Model by Methods of Optimal Control Theory

Anna V. Bukina

Irkutsk State University

Abstract: The model of sympatric speciation is identified by means of optimal control theory. For the corresponding integro-differential optimal control problem a necessary optimality condition is deduced in the form of the linearised maximum principle. This condition allows concretizing gradient method of solution for control problem of speciation model.

Keywords: controlled integro-differential system, necessary optimality conditions, the model of speciation, gradient method of solution.

UDC: 517.977

Received: 10.02.2008
Received in revised form: 15.05.2008
Accepted: 10.06.2008



© Steklov Math. Inst. of RAS, 2024