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

• Type: Article in International Scientific Journal
• Date: 2012

Authors

Avelino, PP (Author) FCUP; Bazeia, D (Author) Other; Losano, L (Author) Other; Menezes, J (Author) Other; Oliveira, BF (Author) Other

Journal

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

Vol. 86

ISSN: 1539-3755

Publisher: American Physical Society

Indexing

ISI Web of Knowledge - 83 Citations

Scopus - 88 Citations

Other information

Authenticus ID: 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.

Language: English

Type (Professor's evaluation): Scientific

No. of pages: 5