Complete convergence theorem for a competition model
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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.
KeywordsStochastic Process Probability Theory Stationary Distribution Mathematical Biology Convergence Theorem
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