Expanding spatial domains and transient scaling regimes in populations with local cyclic competition
Abstract
We investigate a sixspecies class of MayLeonard models leading to the formation of two types of competing spatial domains, each one inhabited by three species with their own internal cyclic rockpaperscissors dynamics. We study the resulting population dynamics using stochastic numerical simulations in twodimensional space. We find that as threespecies domains shrink, there is an increasing probability of extinction of two of the species inhabiting the domain, with the consequent creation of onespecies domains. We determine the critical initial radius beyond which these onespecies 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 ∝t^{1 /2} scaling law, resulting in an extended period of coexistence.
 Publication:

Physical Review E
 Pub Date:
 May 2019
 DOI:
 10.1103/PhysRevE.99.052310
 arXiv:
 arXiv:1811.07412
 Bibcode:
 2019PhRvE..99e2310A
 Keywords:

 Nonlinear Sciences  Adaptation and SelfOrganizing Systems;
 Nonlinear Sciences  Pattern Formation and Solitons;
 Physics  Biological Physics
 EPrint:
 8 pages, 7 figures