Eventually competitive systems generated by perturbations
Texas State University, Department of Mathematics
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.
Eventually cooperative systems, Eventually competitive systems, Regular perturbation, Geometric singular perturbation, Omega-limit sets
Niu, L. (2019). Eventually competitive systems generated by perturbations. <i>Electronic Journal of Differential Equations, 2019</i>(121), pp. 1-12.