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Mathematical Modelling of Natural Phenomena (1)

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Food Webs, Competition Graphs, and HabitatFormation
M. Cozzens
Journal:

Mathematical Modelling of Natural Phenomena / Volume 6 / Issue 6 / 2011

Published online by Cambridge University Press:

05 October 2011, pp. 22-38

Print publication:

2011
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One interesting example of a discrete mathematical model used in biology is a food web.The first biology courses in high school and in college present the fundamental nature ofa food web, one that is understandable by students at all levels. But food webs as part ofa larger system are often not addressed. This paper presents materials that can be used inundergraduate classes in biology (and mathematics) and provides students with theopportunity to explore mathematical models of predator-prey relationships, determinetrophic levels, dominant species, stability of the ecosystem, competition graphs, intervalgraphs, and even confront problems that would appear to have logical answers that are asyet unsolved.