Navegando por Autor "Oliveira, B. F. de"
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Artigo Expanding spatial domains and transient scaling regimes in populations with local cyclic competition(American Physical Society, 2019) Avelino, P. P.; Silva, Josinaldo Menezes; Oliveira, B. F. de; Pereira, T. A.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 ∝ t 1/2 scaling law, resulting in an extended period of coexistence.Artigo How directional mobility affects coexistence in rock-paper-scissors models(American Physical Society, 2018) Avelino, P. P.; Bazeia, D.; Losano, L.; Silva, Josinaldo Menezes da; Oliveira, B. F. de; Santos, M. A.This work deals with a system of three distinct species that changes in time under the presence of mobility, selection, and reproduction, as in the popular rock-paper-scissors game. The novelty of the current study is the modification of the mobility rule to the case of directional mobility, in which the species move following the direction associated to a larger (averaged) number density of selection targets in the surrounding neighborhood. Directional mobility can be used to simulate eyes that see or a nose that smells, and we show how it may contribute to reduce the probability of coexistenceArtigo Spatial patterns and biodiversity in off-lattice simulations of a cyclic three-species Lotka-Volterra model(IOP Publishing, 2018) Avelino, P. P.; Bazeia, D.; Losano, L.; Silva, Josinaldo Menezes da; Oliveira, B. F. deStochastic simulations of cyclic three-species spatial predator-prey models are usually performed in square lattices with nearest-neighbour interactions starting from random initial conditions. In this letter we describe the results of off-lattice Lotka-Volterra stochastic simulations, showing that the emergence of spiral patterns does occur for sufficiently high values of the (conserved) total density of individuals. We also investigate the dynamics in our simulations, finding an empirical relation characterizing the dependence of the characteristic peak frequency and amplitude on the total density. Finally, we study the impact of the total density on the extinction probability, showing how a low population density may jeopardize biodiversity