3 papers
math.DS2021
Heteroclinic Cycles of A Symmetric May-Leonard Competition Model with Seasonal Succession
Xizhuang Xie, Lin Niu
In this paper, we are concerned with the stability of heteroclinic cycles of the symmetric May-Leonard competition model with seasonal succession. Sufficient conditions for stabili…
math.DS2021
Generic Poincaré-Bendixson Theorem for singularly perturbed monotone systems with respect to cones of rank-
Lin Niu, Xizhuang Xie
We investigate the singularly perturbed monotone systems with respect to cones of rank and obtain the so called Generic Poincaré-Bendixson theorem for such perturbed systems, t…
math.DS2018
Non-Oscillation Principle for Eventually Competitive and Cooperative Systems
Lin Niu, Yi Wang
A nonlinear dynamical system is called eventually competitive (or cooperative) provided that it preserves a partial order in backward (or forward) time only after some reasonable i…