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A simple mathematical model for Batesian mimicry

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  • Terence R. Blows
  • Barry J. Wimmer

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.

Suggested Citation

  • Terence R. Blows & Barry J. Wimmer, 2005. "A simple mathematical model for Batesian mimicry," Discrete Dynamics in Nature and Society, Hindawi, vol. 2005, pages 1-6, January.
    • Handle: RePEc:hin:jnddns:253208
    DOI: 10.1155/DDNS.2005.87
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