A. S. Balandin, T. L. Sabatulina, “The local stability of a population dynamics model in conditions of deleterious effects”, Sib. Èlektron. Mat. Izv., 2015, Volume 12,Pages <nobr>610

This article is cited in 3 papers

Differentical equations, dynamical systems and optimal control

The local stability of a population dynamics model in conditions of deleterious effects

A. S. Balandin, T. L. Sabatulina

Perm National Research Polytechnic University, Komsomolskiy pr., 29, 614990, Perm, Russia

Abstract: We study the local stability of an integro-differential system with aftereffect, which is a model of dynamics of a population in conditions of deleterious effects.

Keywords: system of linear functional differential equations, exponential stability, uniform stability, aftereffect, population dynamics.

UDC: 517.929

MSC: 34K20

Received July 31, 2015, published September 22, 2015

DOI: 10.17377/semi.2015.12.049