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
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