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Expanding spatial domains and transient scaling regimes in populations with local cyclic competition.
- Source :
-
Physical Review E . May2019, Vol. 99 Issue 5, p1-1. 1p. - Publication Year :
- 2019
-
Abstract
- We investigate a six-species class of May-Leonard models leading to the formation of two types of competing spatial domains, each one inhabited by three species with their own internal cyclic rock-paper-scissors dynamics. We study the resulting population dynamics using stochastic numerical simulations in two-dimensional space. We find that as three-species domains shrink, there is an increasing probability of extinction of two of the species inhabiting the domain, with the consequent creation of one-species domains. We determine the critical initial radius beyond which these one-species spatial domains are expected to expand. We further show that a transient scaling regime, with a slower average growth rate of the characteristic length scale L of the spatial domains with time t, takes place before the transition to a standard L∝t1/2 scaling law, resulting in an extended period of coexistence. [ABSTRACT FROM AUTHOR]
Details
- Language :
- English
- ISSN :
- 24700045
- Volume :
- 99
- Issue :
- 5
- Database :
- Academic Search Index
- Journal :
- Physical Review E
- Publication Type :
- Academic Journal
- Accession number :
- 137009298
- Full Text :
- https://doi.org/10.1103/PhysRevE.99.052310