A mathematical model of population dynamics for Batesian mimicry system

Hiromi Seno, Takahiro Kohno

Research output: Contribution to journalArticlepeer-review

2 Citations (Scopus)

Abstract

We analyse a mathematical model of the population dynamics among a mimic, a corresponding model, and their common predator populations. Predator changes its search-and-attack probability by forming and losing its search image. It cannot distinguish the mimic from the model. Once a predator eats a model individual, it comes to omit both the model and the mimic species from its diet menu. If a predator eats a mimic individual, it comes to increase the search-and-attack probability for both model and mimic. The predator may lose the repulsive/attractive search image with a probability per day. By analysing our model, we can derive the mathematical condition for the persistence of model and mimic populations, and then get the result that the condition for the persistence of model population does not depend on the mimic population size, while the condition for the persistence of mimic population does depend the predator's memory of search image.

Original languageEnglish
Pages (from-to)1034-1051
Number of pages18
JournalJournal of Biological Dynamics
Volume6
Issue number2
DOIs
Publication statusPublished - 2012 Mar
Externally publishedYes

Keywords

  • hybrid model
  • memory
  • mimicry
  • population dynamics
  • search image

ASJC Scopus subject areas

  • Ecology, Evolution, Behavior and Systematics
  • Ecology

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