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Probability Theory and Related Fields

, Volume 88, Issue 1, pp 121–136 | Cite as

Complete convergence theorem for a competition model

  • R. Durrett
  • A. M. Møller
Article

Summary

In this paper we consider a hierarchical competition model. Durrett and Swindle 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.

Keywords

Stochastic Process Probability Theory Stationary Distribution Mathematical Biology Convergence Theorem 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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Copyright information

© Springer-Verlag 1991

Authors and Affiliations

  • R. Durrett
    • 1
  • A. M. Møller
    • 1
  1. 1.Department of MathematicsCornell UniversityIthacaUSA

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