Features of Fast Living: On the Weak Selection for Longevity in Degenerate Birth-Death Processes

被引：0
作者：
Yen Ting Lin
Hyejin Kim
Charles R. Doering
机构：
[1] University of Michigan,Department of Physics
[2] University of Michigan,Department of Mathematics
[3] University of Michigan,Center for the Study of Complex Systems
来源：
Journal of Statistical Physics | 2012年 / 148卷
关键词：
Birth-death processes; Weak noise asymptotics; Extinction; Population biology;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
Deterministic descriptions of dynamics of competing species with identical carrying capacities but distinct birth, death, and reproduction rates predict steady state coexistence with population ratios depending on initial conditions. Demographic fluctuations described by a Markovian birth-death model break this degeneracy. A novel large carrying capacity asymptotic theory confirmed by conventional analysis and simulations reveals a weak preference for longevity in the deterministic limit with finite-time extinction of one of the competitors on a time scale proportional to the total carrying capacity.
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页码：647 / 663
页数：16
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