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. 2004 May;48(5):515-28.
doi: 10.1007/s00285-003-0239-1. Epub 2003 Dec 2.

Permanence of single-species stage-structured models

Ryusuke Kon  1 , Yasuhisa Saito, Yasuhiro Takeuchi
Affiliations

Permanence of single-species stage-structured models

Ryusuke Kon et al. J Math Biol. 2004 May.

Abstract

In this paper, we consider population survival by using single-species stage-structured models. As a criterion of population survival, we employ the mathematical notation of permanence. Permanence of stage-structured models has already been studied by Cushing (1998). We generalize his result of permanence, and obtain a condition which guarantees that population survives. The condition is applicable to a wide class of stage-structured models. In particular, we apply our results to the Neubert-Caswell model, which is a typical stage-structured model, and obtain a condition for population survival of the model.

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