V. V. Malygina, M. V. Mulyukov, N. V. Pertsev, “On the local stability of a population dynamics model with delay”, Sib. Èlektron. Mat. Izv., 2014, Volume 11,Pages <nobr>951

This article is cited in 4 papers

Computational mathematics

On the local stability of a population dynamics model with delay

V. V. Malygina^a, M. V. Mulyukov^a, N. V. Pertsev^b

^a Perm State National Research Polytechnical University
^b Omsk Branch of Sobolev Institute of Mathematics, Siberian Branch of the Russian Academy of Sciences

Abstract: We study the local stability of an integro-differential equation with aftereffect, which is a model of the dynamics of a stage-dependent one-species population.

Keywords: linear functional-differential equation, aftereffect, asymptotic stability, stability in parameter space, population dynamics, stage-dependent model.

UDC: 517.929

MSC: 34K20

Received September 2, 2014, published December 6, 2014