On the strictly positive solutions of nonautonomous Kolmogorov competition systems (Q1807846)
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: On the strictly positive solutions of nonautonomous Kolmogorov competition systems |
scientific article; zbMATH DE number 1367959
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | On the strictly positive solutions of nonautonomous Kolmogorov competition systems |
scientific article; zbMATH DE number 1367959 |
Statements
On the strictly positive solutions of nonautonomous Kolmogorov competition systems (English)
0 references
28 June 2000
0 references
The existence of strictly positive solutions to \(N\)-species nonautonomous Kolmogorov competition systems is studied. By applying Schauder's fixed point theorem some new sufficient conditions are established. In particular, for the almost-periodic system the existence of strictly positive almost-periodic solutions is obtained. In many special cases these conditions can be easely checked. Some previous results are improved and generalized.
0 references
nonautonomous Kolmogorov systems
0 references
Lottka-Volterra system
0 references
strictly positive solutions
0 references
competition
0 references
almost-periodic solutions
0 references
Schauder's fixed point theorem
0 references
0 references
