A simple mathematical model for Batesian mimicry

Terence R. Blows, Barry J. Wimmer

Research output: Contribution to journalArticle

2 Scopus citations

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.

Original languageEnglish (US)
Pages (from-to)87-92
Number of pages6
JournalDiscrete Dynamics in Nature and Society
Volume2005
Issue number1
DOIs
StatePublished - Jan 12 2005

ASJC Scopus subject areas

  • Modeling and Simulation

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