Survival and extinction in a locally regulated population

Survival and extinction in a locally regulated population
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DOI:
10.1214/aoap/1075828051
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发表时间:
2004-02
影响因子:
1.8
通讯作者:
A. Etheridge
A. Etheridge
中科院分区:
数学2区
文献类型:
--
作者:
A. Etheridge

文献摘要

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Bolker和Pacala最近引入了一个进化种群模型,在这个模型中,个体的繁殖力与“局部种群密度”成比例地减少。我们考虑这个模型的两个版本,并证明互补的灭绝/持久性的结果,每个版本。粗略地说,如果种群中的个体相对于密度依赖性调节引起的相互作用范围足够快地分散,那么种群就有积极的生存机会,反之,如果它们不这样做,那么种群就会灭绝。
Bolker and Pacala recently introduced a model of an evolving population in which an individual’s fecundity is reduced in proportion to the “local population density.” We consider two versions of this model and prove complementary extinction/persistence results, one for each version. Roughly, if individuals in the population disperse sufficiently quickly relative to the range of the interaction induced by the density dependent regulation, then the population has positive chance of survival, whereas, if they do not, then the population will die out.