A simple mathematical model for Batesian mimicry

Blows, Terence R. and Wimmer, Barry J. (2005) A simple mathematical model for Batesian mimicry. Discrete Dynamics in Nature and Society (1). pp. 87-92. ISSN 1607-887X

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Abstract

A simple mathematical model is presented for Batesian mimicry, which occurs when a harmless species (mimic) is morphologically similar to another species (model) that is noxious or distasteful to predators, thus gaining a measure of protection. Although mathematical models for species interaction, such as predator-prey or competition, are well known, there is no similar literature on mimicry. The mathematical model developed here is a one-dimensional iterated map which has the full range of dynamic behavior present in the logistic map, depending on the values of its parameters. The dynamics ranges from a stable fixed point and stable cycles through chaotic dynamics achieved through a sequence of period doubling bifurcations.

Item Type:	Article
Publisher’s Statement:	© 2005 Hindawi Publishing Corporation.
ID number or DOI:	10.1155/DDNS.2005.87
Subjects:	Q Science > QA Mathematics Q Science > QH Natural history > QH301 Biology
NAU Depositing Author Academic Status:	Faculty/Staff
Department/Unit:	College of Engineering, Forestry, and Natural Science > Mathematics and Statistics
Date Deposited:	30 Sep 2015 17:53
URI:	http://openknowledge.nau.edu/id/eprint/563

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