On the speed of extinction of a population in a random environment

被引：1

作者：

Bacaer, Nicolas ^{[1
,2
]}

机构：

[1] UMMISCO, Inst Rech Dev, Unite 209, Bondy, France

[2] Univ Paris 06, Campus Cordeliers, Paris, France

来源：

COMPTES RENDUS BIOLOGIES | 2017年 / 340卷 / 05期

关键词：

Population dynamics; Demographic stochasticity; Environmental stochasticity; BRANCHING-PROCESSES; DEATH PROCESSES; BIRTH;

D O I：

10.1016/j.crvi.2017.04.002

中图分类号：

Q [生物科学];

学科分类号：

07 ; 0710 ; 09 ;

摘要：

This study focuses on the speed of extinction of a population living in a random environment that follows a continuous-time Markov chain. Each individual dies or reproduces at a rate that depends on the environment. The number of offspring during reproduction follows a given probability law that also depends on the environment. In the so-called subcritical case where the population goes for sure to extinction, there is an explicit formula for the speed of extinction. In some sense, environmental stochasticity slows down population extinction. (C) 2017 Academie des sciences. Published by Elsevier Masson SAS.

引用

页码：259 / 263

页数：5

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