A simple mathematical model for Batesian mimicry

Terence R Blows, Barry J. Wimmer

Research output: Contribution to journalArticle

2 Citations (Scopus)

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

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Mathematical Model
Mathematical models
Period-doubling Bifurcation
Logistic map
Predator-prey
Chaotic Dynamics
Dynamic Range
Predator
Dynamic Behavior
Logistics
Fixed point
Cycle
Interaction
Range of data
Model

ASJC Scopus subject areas

  • General
  • Modeling and Simulation

Cite this

A simple mathematical model for Batesian mimicry. / Blows, Terence R; Wimmer, Barry J.

In: Discrete Dynamics in Nature and Society, Vol. 2005, No. 1, 12.01.2005, p. 87-92.

Research output: Contribution to journalArticle

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