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