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Globally attracting fixed points in higher order discrete population models
Authors:Hassan A El-Morshedy  Eduardo Liz
Institution:(1) Department of Mathematics, Damietta Faculty of Science, New Damietta, 34517, Egypt;(2) Department of Mathematics, ABHA Teachers’ College, ABHA P.O. Box 429, Abha, Saudi Arabia;(3) Departamento de Matemática Aplicada II, E.T.S.I. Telecomunicación, Campus Marcosende, Universidad de Vigo, 36280 Vigo, Spain
Abstract:We address the global stability properties of the positive equilibrium in a general delayed discrete population model. Our results are used to investigate in detail a well-known model for baleen whale populations.E. Liz was supported in part by M.E.C. (Spain) and FEDER, under project MTM2004-06652-C03-02.
Keywords:Clark model  Delayed population model  Age-structured model  Global stability  Global attractor  Permanence
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