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Population dynamics with chaos and extinction

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Abstract

This paper is about mathematical models of population growth over discrete time intervals. After a brief discussion of the most common models in the literature, we construct a model which, depending only on the initial population, features stable convergence, extinction, and chaos, all within the same model.

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Authors and Affiliations

  1. The African Institute of Mathematical Sciences, Muizenberg, South Africa

    Alan F. Beardon & David Wakyiku

  2. Department of Pure Mathematics and Mathematical Statistics, University of Cambridge, Cambridge, UK

    Alan F. Beardon

Authors
  1. Alan F. Beardon
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  2. David Wakyiku
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Correspondence to David Wakyiku.

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Beardon, A.F., Wakyiku, D. Population dynamics with chaos and extinction. Afr. Mat. 24, 161–168 (2013). https://doi.org/10.1007/s13370-011-0050-x

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  • DOI: https://doi.org/10.1007/s13370-011-0050-x

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