Eventually competitive systems generated by perturbations

A dynamical system is called eventually competitive if it preserves a partial order in backward time only after some reasonable initial transient. We show that both regular and singular perturbations of a competitive irreducible vector field are at most eventually competitive rather than competitive...

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Bibliographic Details
Published in:Electronic journal of differential equations 2019-11, Vol.2019 (121), p.1-12
Main Author: Lin Niu
Format: Article
Language:English
Subjects:
eventually competitive systems
eventually cooperative systems
geometric singular perturbation
omega-limit sets
regular perturbation
Online Access:Get full text
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Summary:A dynamical system is called eventually competitive if it preserves a partial order in backward time only after some reasonable initial transient. We show that both regular and singular perturbations of a competitive irreducible vector field are at most eventually competitive rather than competitive.
ISSN:1072-6691