Analysis of a Class of Low-Dimensional Models of Mutation and Predation-Reference-Cited by-同舟云学术

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

Published:2016-10 Issue:11 Volume:26 Page:1630029
ISSN:0218-1274
Container-title:International Journal of Bifurcation and Chaos
language:en
Short-container-title:Int. J. Bifurcation Chaos

Author:

Abernethy Gavin M.¹^ORCID,McCartney Mark¹

Affiliation:

1. School of Computing and Mathematics, Ulster University, Jordanstown Campus, Shore Road, Newtownabbey, Co. Antrim, BT37 0QB, UK

Abstract

We consider a class of simple two-dimensional discrete models representative of a system incorporating both mutation and predation. A selection of analytic and numerical results are presented, classifying the dynamic behavior of the system by means of Lyapunov exponents over a biologically-reasonable region of parameter space, and illustrating the occurrence of hyperchaos and a Neimark–Sacker bifurcation producing regions of quasiperiodicity.

Funder

Department for Employment and Learning, Northern Ireland

Publisher

World Scientific Pub Co Pte Lt

Subject

Applied Mathematics,Modeling and Simulation,Engineering (miscellaneous)

Link

https://www.worldscientific.com/doi/pdf/10.1142/S0218127416300299

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1. Cannibalism and chaos in the classroom

2. The nature of predation: prey dependent, ratio dependent or neither?

3. Chaotic dynamics of a discrete prey–predator model with Holling type II