Journal
JOURNAL OF STATISTICAL MECHANICS-THEORY AND EXPERIMENT
Volume -, Issue -, Pages -Publisher
IOP PUBLISHING LTD
DOI: 10.1088/1742-5468/ab1ddd
Keywords
population dynamics; stochastic processes; diffusion
Categories
Funding
- NSF [DMR-1608211]
- 'Maria de Maeztu' fellowship [MDM-2014-0370-17-2]
- Botin Foundation
- Banco Santander through its Santander Universities Global Division
- [FIS2015-67616-P]
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We investigate the dynamics of the voter model in which the population itself changes endogenously via the birth-death process. There are two species of voters, labeled A and B, and the population of each species can grow or shrink by the birth-death process at equal rates b. Individuals of opposite species also undergo voter model dynamics in which an AB pair can equiprobably become AA or BB with rate v-neutral evolution. In the limit b/v -> infinity, the distribution of consensus times varies as t(-3) and the probability that the population size equals n at the moment of consensus varies as n(-3). As the birth/death rate b is increased, fixation occurs more more quickly; that is, population fluctuations promote consensus.
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