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Globally attracting fixed points in higher order discrete population models

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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.

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Authors and Affiliations

  1. Department of Mathematics, Damietta Faculty of Science, New Damietta, 34517, Egypt

    Hassan A. El-Morshedy

  2. Department of Mathematics, ABHA Teachers’ College, ABHA P.O. Box 429, Abha, Saudi Arabia

    Hassan A. El-Morshedy

  3. Departamento de Matemática Aplicada II, E.T.S.I. Telecomunicación, Campus Marcosende, Universidad de Vigo, 36280, Vigo, Spain

    Eduardo Liz

Authors
  1. Hassan A. El-Morshedy
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  2. Eduardo Liz
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Correspondence to Eduardo Liz.

Additional information

E. Liz was supported in part by M.E.C. (Spain) and FEDER, under project MTM2004-06652-C03-02.

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El-Morshedy, H.A., Liz, E. Globally attracting fixed points in higher order discrete population models. J. Math. Biol. 53, 365–384 (2006). https://doi.org/10.1007/s00285-006-0014-1

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  • DOI: https://doi.org/10.1007/s00285-006-0014-1

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