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Some stability conditions for discrete-time single species models

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Abstract

Standard results relating to the stability of autonomous first order difference equations are restated here with slight modifications so as to apply directly to equations in which the state variable remains positive. Some simple and effective tests for both local and global stability of these first order difference equations are presented. The main results are illustrated with examples drawn from population biology.

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Authors and Affiliations

  1. Mathematics Deparment, University of Western Australia, 6009, Nedlands, W.A., Australia

    M. E. Fisher & B. S. Goh

  2. Aerospace and Mechanical Engineering Department, University of Arizona, 85721, Tucson, Arizona, USA

    T. L. Vincent

Authors
  1. M. E. Fisher
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  2. B. S. Goh
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  3. T. L. Vincent
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Fisher, M.E., Goh, B.S. & Vincent, T.L. Some stability conditions for discrete-time single species models. Bltn Mathcal Biology 41, 861–875 (1979). https://doi.org/10.1007/BF02462383

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  • DOI: https://doi.org/10.1007/BF02462383

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