Persistence in population models with demographic fluctuations
Persistence in population models with demographic fluctuations
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DOI：
10.1007/bf00275641
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发表时间：
1986
影响因子：
1.9
通讯作者：
T. Hallam;M. Zhien
中科院分区：
文献类型：
--
作者：
T. Hallam;M. Zhien
通过对确定性种群模型的分析研究，提出了种群持续生存和灭绝的理论。在要求人口参数在时间上波动的假设下，人口可能会也可能不会振荡。当灭绝发生时，它是渐近的。基于用时间平均方法测量的波动，导出了持续性标准的层次结构。在某些情况下，发现一个阈值来区分持久的种群模型和那些趋向于灭绝的种群模型。当有毒物质对环境和资源的投入是振荡的时，持久性-灭绝理论应用于评估有毒物质对种群的影响的问题。
A persistence and extinction theory is developed through analytical studies of deterministic population models. Under hypotheses that require demographic parameters to fluctuate temporally, the populations may or may not oscillaate. Extinction, when it occurs, is asymptotic. An hierarchy of persistence criteria, based upon fluctuations measured by time average means, is derived. In some situations a threshold value is found to separate persistent population models from those that tend to extinction. Application of the persistence-extinction theory is to the problem of assessing effects of a toxic substance on a population when toxicant inputs to the environment and to resources are oscillatory.