Analysis of a Class of Low-Dimensional Models of Mutation and Predation

Gavin Abernethy, Mark McCartney

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3 Citations (Scopus)
20 Downloads (Pure)

Abstract

We consider a class of simple two-dimensional discrete models representative of a system incorporating both mutationand predation. A selection of analytic and numerical results are presented, classifying the dynamic behaviour of the systemby means of Lyapunov exponents over a biologically-reasonable region of parameter space, and illustrating the occurrenceof hyperchaos and a Neimark-Sacker bifurcation producing regions of quasiperiodicity.
Original languageEnglish
Pages (from-to)1630029-1-13
JournalInternational Journal of Bifurcation and Chaos
Volume26
Issue number11
DOIs
Publication statusPublished - 31 Oct 2016

Keywords

  • ecology
  • discrete chaos
  • hyperchaos

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