학술논문

Food, Fertilizer and Feigenbaum Diagrams
Document Type
Journal Articles
Reports - Descriptive
Author
Anna McAllister (ORCID 0000-0002-5033-3570); Mark McCartneyDavid H. Glass (ORCID 0000-0002-6180-696X)
Source
International Journal of Mathematical Education in Science and Technology. 2024 55(1):171-183.
Subject
Lesson Plans
Mathematics Activities
Mathematics Instruction
Mathematical Models
College Mathematics
Food
Equations (Mathematics)
Networks
Ecology
Agriculture
Holistic Approach
Models
Language
English
ISSN
0020-739X
1464-5211
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.