The effect of the remains of the carcass in a two-prey, one-predator model

Sungrim Seirin Lee, Tsuyoshi Kajiwara

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4 Citations (Scopus)

Abstract

We propose a two-prey, one-predator model involving the effect of the carcass. We consider a commensal interaction that a prey species eats the remains of the other prey species' carcass given by their predator. Under some biological assumptions, we construct two ODE models. We analyze the linear stability and prove the permanence of the two models. We also show that the effect of the remains of the carcass leads to chaotic dynamics for biologically reasonable choices of parameters by numerical simulations. Finally, we discuss the dynamical results and the coexistent regions of the three species.

Original languageEnglish
Pages (from-to)353-374
Number of pages22
JournalDiscrete and Continuous Dynamical Systems - Series B
Volume9
Issue number2
Publication statusPublished - Mar 1 2008

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Keywords

  • Chaos
  • Mathematical modeling
  • Population dynamics

ASJC Scopus subject areas

  • Discrete Mathematics and Combinatorics
  • Applied Mathematics

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