5Electron. J. Differential Equations, Vol. 2019 (2019), No. 121, pp. 1-12.

Eventually competitive systems generated by perturbations

Lin Niu

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.

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Lin Niu
School of Mathematical Science
University of Science and Technology of China
Hefei, Anhui 230026, China
email: niulin@mail.ustc.edu.cn

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