2005
DOI: 10.1007/s10513-005-0228-5
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Global Stability of a Discrete Population Dynamics Model with Two Delays

Abstract: A population dynamics model x n = αx n−m 1 + x n−m + βx n−k with two delays k and m and coefficients α > 1 and β 0 is studied. A sufficient condition, which is also necessary for certain delays, for the global asymptotic stability of the stationary solution x n ≡ α − 1 β + 1 is formulated.

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Cited by 2 publications
(1 citation statement)
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“…This method and closely related methods have been used in the literature for many times; see, for example, [21, 1-5, 7, 10, 11, 22-24] and the related references therein. Our motivation stems from [10][11][12]. Recently, there has been a great interest in studying nonlinear difference equations and systems, in particular those which model some real-life situations in population biology and ecology (see, e.g., [18,20,21,25,10,6,8,13] and the references cited therein).…”
Section: Introductionmentioning
confidence: 99%
“…This method and closely related methods have been used in the literature for many times; see, for example, [21, 1-5, 7, 10, 11, 22-24] and the related references therein. Our motivation stems from [10][11][12]. Recently, there has been a great interest in studying nonlinear difference equations and systems, in particular those which model some real-life situations in population biology and ecology (see, e.g., [18,20,21,25,10,6,8,13] and the references cited therein).…”
Section: Introductionmentioning
confidence: 99%