Food, fertilizer and Feigenbaum diagrams

Anna McAllister; Mark McCartney; David H. Glass

doi:10.1080/0020739x.2022.2115418

Food, fertilizer and Feigenbaum diagrams

Anna McAllister, Mark McCartney, David H. Glass

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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 language	English
Pages (from-to)	1-13
Number of pages	13
Journal	International Journal of Mathematical Education in Science and Technology
Early online date	12 Sept 2022
DOIs	https://doi.org/10.1080/0020739x.2022.2115418
Publication status	Published 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

UN SDGs

This output contributes to the following UN Sustainable Development Goals (SDGs)

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10.1080/0020739x.2022.2115418

0020739X.2022 (1)Final published version, 2.1 MBLicence: CC BY-NC-ND

Cite this

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AU - McCartney, Mark

AU - Glass, David H.

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N2 - 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.

AB - 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.

KW - Chaos

KW - Lyapunov exponents

KW - discrete systems

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JO - International Journal of Mathematical Education in Science and Technology

JF - International Journal of Mathematical Education in Science and Technology

ER -

Food, fertilizer and Feigenbaum diagrams

Abstract

Bibliographical note

Keywords

UN SDGs

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