Spatial clustering of interacting bugs: Levy flights versus Gaussian jumps
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 L\'evy 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.
Keywords
Cite
@article{arxiv.1008.3478,
title = {Spatial clustering of interacting bugs: Levy flights versus Gaussian jumps},
author = {E. Heinsalu and E. Hernandez-Garcia and C. Lopez},
journal= {arXiv preprint arXiv:1008.3478},
year = {2011}
}
Comments
This version incorporates in the text the correction published as an Erratum in Europhysics Letters (EPL) 95, 69902 (2011) [doi: 10.1209/0295-5075/95/69902]