Junctions and spiral patterns in generalized rock-paper-scissors models

• Tipo: Artigo em Revista Científica Internacional
• Data: 2012

Autores

Avelino, PP (Autor) FCUP; Bazeia, D (Autor) Outra; Losano, L (Autor) Outra; Menezes, J (Autor) Outra; Oliveira, BF (Autor) Outra

Revista

Título: Physical Review E - Statistical, Nonlinear, and Soft Matter Physics

Vol. 86

ISSN: 1539-3755

Editora: American Physical Society

Indexação

ISI Web of Knowledge - 83 Citações

Scopus - 88 Citações

Outras Informações

ID Authenticus: P-002-5EY

DOI: 10.1103/physreve.86.036112

Abstract (EN): We investigate the population dynamics in generalized rock-paper-scissors models with an arbitrary number of species N. We show that spiral patterns with N arms may develop both for odd and even N, in particular in models where a bidirectional predation interaction of equal strength between all species is modified to include one N-cyclic predator-prey rule. While the former case gives rise to an interface network with Y-type junctions obeying the scaling law L proportional to t(1/2), where L is the characteristic length of the network and t is the time, the latter can lead to a population network with N-armed spiral patterns, having a roughly constant characteristic length scale. We explicitly demonstrate the connection between interface junctions and spiral patterns in these models and compute the corresponding scaling laws. This work significantly extends the results of previous studies of population dynamics and could have profound implications for the understanding of biological complexity in systems with a large number of species.

Idioma: Inglês

Tipo (Avaliação Docente): Científica

Nº de páginas: 5