Mathematics

Conditions of the survival of population in Nicholson's models with delay

A. D. Khokhlov

South Ural State University

Abstract: The Nicholson's model with delay describing dynamics of the magnitude of population is considered. Properties of the model solutions are analyzed, equal apartness of solutions from zero is proved and a lower estimation of decisions as function of the model parameters is found. A two-band model constructed on the basis of Nicholson's model is analyzed. The lower estimations of solutions with various parameters combinations are found.

Keywords: dynamics of the magnitude ofpopulation, apartness from zero, Nicholson's model.

UDC: 517.929

Received: 28.06.2010