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 | Abstract: | 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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