Conference devoted to the 90th anniversary of Alexei A. Lyapunov

Akademgorodok, Novosibirsk, Russia, October 8-11, 2001,
(state registration number 0320300064)

Abstracts


Mathematical modelling

Modifikation of Basykin-Alekseev Model

Utyupin Y.V.

Polytechnical Institute of Mirny (Mirny)

In this article the mathematical model of a system a predator - prey is considered, in which the operation of effect of a saturation during interaction of species is taken into account. As against known model of Alekseev-Bazykin in considered model the association of a velocity of an increase of number of predators on conditions of their feed during the defined time is taken into account. For a system of three integro-differential equations the dynamic conditions are studied which are realized at various values of parameters.

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