Eventually competitive systems generated by perturbations
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Date
2019-11-18
Authors
Niu, Lin
Journal Title
Journal ISSN
Volume Title
Publisher
Texas State University, Department of Mathematics
Abstract
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.
Description
Keywords
Eventually cooperative systems, Eventually competitive systems, Regular perturbation, Geometric singular perturbation, Omega-limit sets
Citation
Niu, L. (2019). Eventually competitive systems generated by perturbations. <i>Electronic Journal of Differential Equations, 2019</i>(121), pp. 1-12.