Interfaces with internal structures in generalized rock-paper-scissors models.
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.
Centro de Astrofísica da Universidade do Porto, 4150-762 Porto, Portugal and Departamento de Física e Astronomia, Faculdade de Ciências, Universidade do Porto, 4169-007 Porto, Portugal.
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Avelino
Departamento de Física, Universidade Federal da Paraíba 58051-970 João Pessoa, PB, Brazil.
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Bazeia
Departamento de Física, Universidade Federal da Paraíba 58051-970 João Pessoa, PB, Brazil.
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Losano
Escola de Ciências e Tecnologia, Universidade Federal do Rio Grande do Norte Caixa Postal 1524, 59072-970, Natal, RN, Brazil and Institute for Biodiversity and Ecosystem Dynamics, University of Amsterdam, Science Park 904, 1098 XH Amsterdam, Netherlands.
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Menezes
Departamento de Física, Universidade Estadual de Maringá, 87020-900 Maringá, PR, Brazil.
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de Oliveira
D000818:Animals; D003163:Competitive Behavior; D003198:Computer Simulation; D003299:Cooperative Behavior; D003661:Decision Support Techniques; D005716:Game Theory; D015233:Models, Statistical; D011235:Predatory Behavior / Q000502:physiology*