The $C^1$ property of convex carrying simplices for three-dimensional competitive maps
Classical Analysis and ODEs
2019-08-01 v3 Dynamical Systems
Abstract
It is proved that a convex carrying simplex for a three-dimensional competitive map is a submanifold-with-corners neatly embedded in the non-negative octant.
Keywords
Cite
@article{arxiv.1709.08171,
title = {The $C^1$ property of convex carrying simplices for three-dimensional competitive maps},
author = {Janusz Mierczyński},
journal= {arXiv preprint arXiv:1709.08171},
year = {2019}
}
Comments
12 pages; minor modifications; an Accepted Manuscript of an article published in Journal of Difference Equations and Applications