Complete convergence theorem for a competition model (Q2639409)
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: Complete convergence theorem for a competition model |
scientific article
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Complete convergence theorem for a competition model |
scientific article |
Statements
Complete convergence theorem for a competition model (English)
0 references
1991
0 references
We consider a hierarchical competition model. \textit{R. Durrett} and \textit{G. Swindle} [Are there bushes in a forest? (to appear in Stochastic Processes Appl.)] have given sufficient conditions for the existence of a nontrivial stationary distribution. Here we show that under a slightly stronger condition, the complete convergence theorem holds and hence there is a unique nontrivial stationary distribution.
0 references
hierarchical competition model
0 references
stationary distribution
0 references
complete convergence theorem
0 references
