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Open Access item Spatial clustering of interacting bugs: Lévy flights versus Gaussian jumps

Authors:Heinsalu, Els
Hernández-García, Emilio
López, Cristóbal
Keywords:Computational physics, Statistical physics and nonlinear systems
Issue Date:2010
Publisher:EDP Sciences
Citation:Europhysics Letters 92: 40011 (1-6) (2010)
Abstract:A biological competition model where the individuals of the same species perform a two-dimensional Markovian continuous-time random walk and undergo reproduction and death is studied. The competition is introduced through the assumption that the reproduction rate depends on the crowding in the neighborhood. The spatial dynamics corresponds either to normal diffusion characterized by Gaussian jumps or to superdiffusion characterized by Lévy flights. It is observed that in both cases periodic patterns occur for appropriate parameters of the model, indicating that the general macroscopic collective behavior of the system is more strongly influenced by the competition for the resources than by the type of spatial dynamics. However, some differences arise that are discussed.
Description:PACS numbers: 02.50.Ey, 05.40.-a, 05.40.Fb. -Texto completo de ArXiv Núm: 1008.3478
Publisher version (URL):http://dx.doi.org/10.1209/0295-5075/92/40011
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