This article is cited in 3 papers

Deterministic Systems

Global stability of a discrete population dynamics model with two delays

R. M. Nigmatulin

Chelyabinsk State Pedagogical University

Abstract: A population dynamics model $x_n=\dfrac{\alpha x_{n-m}}{1+x_{n-m}+\beta x_{n-k}}$ with two delays $k$ and $m$ and coefficients $\alpha>1$ and $\beta\geqslant 0$ is studied. A sufficient condition, which is also necessary for certain delays, for the global asymptotic stability of the stationary solution $x_n\equiv \dfrac{\alpha-1}{\beta+1}$ is formulated.

Presented by the member of Editorial Board: L. B. Rapoport

Received: 19.01.2004

 English version: Automation and Remote Control, 2005, 66:12, 1964–1971

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