Food, fertilizer and Feigenbaum diagrams

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Abstract

Discrete time models, one linear and one non-linear, are investigated, both with a herbivore species that consumes a basal food source species. Results are presented for coexistence of the species and to illustrate chaotic behaviour as parameters are varied in the non-linear model. The results indicate the benefit of fertilization in terms of the region of parameter space for which coexistence occurs. Possible extensions from these models for independent investigations are provided alongside classroom exercises.
Original languageEnglish
Pages (from-to)1-13
Number of pages13
JournalInternational Journal of Mathematical Education in Science and Technology
Early online date12 Sept 2022
DOIs
Publication statusPublished online - 12 Sept 2022

Bibliographical note

Publisher Copyright:
© 2022 The Author(s). Published by Informa UK Limited, trading as Taylor & Francis Group.

Keywords

  • Chaos
  • Lyapunov exponents
  • discrete systems

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