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

Research output: Contribution to journal › Comment/debate › peer-review

1 Citation (Scopus)

78 Downloads (Pure)

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.

UN SDGs

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

SDG 2 Zero Hunger

Keywords

Chaos
Lyapunov exponents
discrete systems

Access to Document

10.1080/0020739x.2022.2115418

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

Cite this

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title = "Food, fertilizer and Feigenbaum diagrams",

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.",

keywords = "Chaos, Lyapunov exponents, discrete systems",

author = "Anna McAllister and Mark McCartney and Glass, \{David H.\}",

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doi = "10.1080/0020739x.2022.2115418",

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TY - JOUR

T1 - Food, fertilizer and Feigenbaum diagrams

AU - McAllister, Anna

AU - McCartney, Mark

AU - Glass, David H.

PY - 2022/9/12

Y1 - 2022/9/12

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

UR - https://www.scopus.com/pages/publications/85138377911

U2 - 10.1080/0020739x.2022.2115418

DO - 10.1080/0020739x.2022.2115418

M3 - Comment/debate

SN - 0020-739X

SP - 1

EP - 13

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

UN SDGs

Keywords

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Chaotic dynamics in mathematical models of predator-prey systems

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Food, fertilizer and Feigenbaum diagrams

Abstract

Bibliographical note

UN SDGs

Keywords

Access to Document

Other files and links

Fingerprint

Student theses

Chaotic dynamics in mathematical models of predator-prey systems

Cite this