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

• Tipo: Artigo em Revista Científica Internacional
• Data: 2019

Autores

Avelino, PP (Autor) FCUP; Menezes, J (Autor) Outra; de Oliveira, BF (Autor) Outra; Pereira, TA (Autor) Outra

Revista

Título: Physical review. E

Vol. 99

ISSN: 2470-0045

Editora: American Physical Society

Indexação

ISI Web of Knowledge - 18 Citações

Scopus - 20 Citações

Outras Informações

ID Authenticus: 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.

Idioma: Inglês

Tipo (Avaliação Docente): Científica

Nº de páginas: 8