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

Gavin Abernethy; Mark McCartney

doi:10.1142/S0218127416300299

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

Gavin Abernethy, Mark McCartney

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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 language	English
Pages (from-to)	1630029-1-13
Journal	International Journal of Bifurcation and Chaos
Volume	26
Issue number	11
DOIs	https://doi.org/10.1142/S0218127416300299
Publication status	Published (in print/issue) - 31 Oct 2016

Keywords

ecology
discrete chaos
hyperchaos

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10.1142/S0218127416300299

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AB - 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.

KW - ecology

KW - discrete chaos

KW - hyperchaos

U2 - 10.1142/S0218127416300299

DO - 10.1142/S0218127416300299

M3 - Article

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JO - International Journal of Bifurcation and Chaos

JF - International Journal of Bifurcation and Chaos

IS - 11

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

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Keywords

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