Permanence of single-species stage-structured models
Permanence of single-species stage-structured models
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DOI：
10.1007/s00285-003-0239-1
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发表时间：
2004-05
影响因子：
1.9
通讯作者：
R. Kon;Yasuhisa Saito;Y. Takeuchi
中科院分区：
文献类型：
--
作者：
R. Kon;Yasuhisa Saito;Y. Takeuchi
在本文中，我们通过使用单物种阶段结构模型来考虑种群生存。作为种群生存的标准，我们采用永久性的数学符号。 Cushing (1998) 已经研究了阶段结构模型的持久性。我们概括他的持久性结果，得到保证人口生存的条件。该条件适用于多种阶段结构模型。特别是，我们将我们的结果应用于典型的阶段结构模型Neubert-Caswell模型，并获得了该模型的种群生存条件。
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.