Electronic Journal of Differential Equations,
Vol. 2019 (2019), No. 121, pp. 1-12.

Title: Eventually competitive systems generated by perturbations

Author: Lin Niu (Univ. of Science and Tech., Hefei, Anhui, China)

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.

Submitted September 19, 2019. Published November 18, 2019.
Math Subject Classifications: 34C12, 37C65.
Key Words: Eventually cooperative systems; eventually competitive systems;
           regular perturbation; geometric singular perturbation; omega-limit sets.