Permanence of two species and fixed point index (Q603025)
From MaRDI portal
 | This is the item page for this Wikibase entity, intended for internal use and editing purposes. Please use this page instead for the normal view: Permanence of two species and fixed point index |
scientific article; zbMATH DE number 5810947
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Permanence of two species and fixed point index |
scientific article; zbMATH DE number 5810947 |
Statements
Permanence of two species and fixed point index (English)
0 references
5 November 2010
0 references
The author presents necessary and sufficient conditions for the permanence of discrete systems in the plane, based on an index of fixed points on convex sets plus a result on the dynamics of a diffeomorphism around a partially hyperbolic fixed point. He shows, by a concrete example, how permanence can be decided by looking at two curves which can be drawn with a computer.
0 references
permanence
0 references
two-species
0 references
fixed points index
0 references
winding number
0 references
0 references
