Authors: Stević, Stevo 
Title: Asymptotic behavior of a nonlinear difference equation
Journal: Indian Journal of Pure and Applied Mathematics
Volume: 34
Issue: 12
First page: 1681
Last page: 1687
Issue Date: 1-Jan-2003
Rank: M23
ISSN: 0019-5588
In this note we investigate the asymptotic behavior of the solutions of the difference equation x n+1 = f (x n , x n-1 , ..., x n-k+1 ), n≥k - 1, with initial conditions x 0 , x 1 , ..., x k-1 ∈ [0, ∞), where the function f satisfies certain additional conditions. The main result in this note apply to some classes of mathematical biology models, for example: Generalized Beddington-Holt stock recruitment model, Flour beetle population model and Mosquito population equations.
Keywords: Asymptotic Behavior | Difference Equation | Nonlinear
Publisher: Indian National Science Academy

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