Interfaces with internal structures in generalized rock-paper-scissors models

• Type: Article in International Scientific Journal
• Date: 2014

Authors

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

Journal

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

Vol. 89

ISSN: 1539-3755

Publisher: American Physical Society

Indexing

ISI Web of Knowledge - 39 Citations

Scopus - 40 Citations

Other information

Authenticus ID: P-009-D4X

DOI: 10.1103/physreve.89.042710

Abstract (EN): In this work we investigate the development of stable dynamical structures along interfaces separating domains belonging to enemy partnerships in the context of cyclic predator-prey models with an even number of species N >= 8. We use both stochastic and field theory simulations in one and two spatial dimensions, as well as analytical arguments, to describe the association at the interfaces of mutually neutral individuals belonging to enemy partnerships and to probe their role in the development of the dynamical structures at the interfaces. We identify an interesting behavior associated with the symmetric or asymmetric evolution of the interface profiles depending on whether N/2 is odd or even, respectively. We also show that the macroscopic evolution of the interface network is not very sensitive to the internal structure of the interfaces. Although this work focuses on cyclic predator-prey models with an even number of species, we argue that the results are expected to be quite generic in the context of spatial stochastic May-Leonard models.

Language: English

Type (Professor's evaluation): Scientific

No. of pages: 7