On existence and uniqueness of a carrying simplex in Kolmogorov differential systems

This paper deals with global asymptotic behaviour of the dynamics for $N$-dimensional competitive Kolmogorov differential systems of equations $\frac{dx_i}{dt} =x_if_i(x), 1\leq i\leq N, x\in \R^N_+$. A theory based on monotone dynamical systems was well established by Morris W Hirsch (Systems of di...

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Bibliographic Details
Main Author: Hou, Zhanyuan
Format: Article
Language:English
Published: IOP Publishing 2020
Subjects:
Online Access:https://repository.londonmet.ac.uk/6000/1/Hou_On-existence.pdf