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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…