The $C^1$ property of convex carrying simplices for three-dimensional competitive maps

Abstract

It is proved that a convex carrying simplex for a three-dimensional competitive map is a $C^1$ submanifold-with-corners neatly embedded in the non-negative octant.

12 pages; minor modifications; an Accepted Manuscript of an article published in Journal of Difference Equations and Applications

References in corpus (1)

• On smoothness of carrying simplices

Cited by in corpus (2)

• The $C^1$ property of convex carrying simplices for competitive maps
• Linearization and invariant manifolds on the carrying simplex for competitive maps