Chaotic attractors in Atkinson–Allen model of four competing species

Chaotic attractors in Atkinson–Allen model of four competing species

We study the occurrence of chaos in the Atkinson–Allen model of four competing species, which plays the role as a discrete-time Lotka–Volterra-type model. We show that in this model chaos can be generated by a cascade of quasiperiod-doubling bifurcations starting from a supercritical Neimark–Sacker...

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Bibliographic Details
Main Authors: Mats Gyllenberg, Jifa Jiang, Lei Niu
Format: Article
Language:English
Published: Taylor & Francis Group 2020-01-01
Series:Journal of Biological Dynamics
Subjects:
atkinson–allen model
carrying simplex
neimark–sacker bifurcation
quasiperiod-doubling bifurcation
chaotic attractor
invasion
Online Access:http://dx.doi.org/10.1080/17513758.2020.1779828

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