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Discrete Dynamics in Nature and Society
Article . 2012 . Peer-reviewed
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Discrete Dynamics in Nature and Society
Article
License: CC BY
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Article . 2012
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Chaos in a Discrete Delay Population Model

Chaos in a discrete delay population model
Authors: Zongcheng Li; Qingli Zhao; Di Liang;

Chaos in a Discrete Delay Population Model

Abstract

This paper is concerned with chaos in a discrete delay population model. The map of the model is proved to be chaotic in the sense of both Devaney and Li‐Yorke under some conditions, by employing the snap‐back repeller theory. Some computer simulations are provided to visualize the theoretical result.

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Keywords

discrete delay population model, Population dynamics (general), snap-back repeller theory, QA1-939, Li-Yorke chaos, Computational methods for problems pertaining to biology, Devaney chaos, Mathematics, Dynamical systems in biology, Strange attractors, chaotic dynamics of systems with hyperbolic behavior

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    popularity
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    influence
    This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
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selected citations
These citations are derived from selected sources.
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
7
Top 10%
Average
Average
gold