Expanding spatial domains and transient scaling regimes in populations with local cyclic competition

• Type: Article in International Scientific Journal
• Date: 2019

Authors

Avelino, PP (Author) FCUP; Menezes, J (Author) Other; de Oliveira, BF (Author) Other; Pereira, TA (Author) Other

Journal

Title: Physical review. E

Vol. 99

ISSN: 2470-0045

Publisher: American Physical Society

Indexing

ISI Web of Knowledge - 18 Citations

Scopus - 20 Citations

Other information

Authenticus ID: P-00Q-MY3

DOI: 10.1103/physreve.99.052310

Abstract (EN): 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 proportional to t(1/2) scaling law, resulting in an extended period of coexistence.

Language: English

Type (Professor's evaluation): Scientific

No. of pages: 8