Eventually competitive systems generated by perturbations

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.

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Attribution 4.0 International

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