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Spatial clustering of interacting bugs: Lévy flights versus Gaussian jumps

AuthorsHeinsalu, Els ; Hernández-García, Emilio ; López, Cristóbal
KeywordsComputational physics
Statistical physics and nonlinear systems
Issue Date2010
PublisherEDP Sciences
CitationEurophysics Letters 92: 40011 (1-6) (2010)
AbstractA 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.
DescriptionPACS 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
Appears in Collections:(IFISC) Artículos
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