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Open Access item Spatial patterns in non-locally interacting particle systems

Authors:López, Cristóbal
Hernández-García, Emilio
Keywords:Bugs, Patterns, Interacting particle systems
Issue Date:5-Jul-2007
Publisher:EDP Sciences
Società Italiana di Fisica
Springer
Citation:European Physical Journal-Special Topics 146, 37-45 (2007)
Abstract:The influence of spatially non-local interactions on the aggregation, competition, and growth dynamics of interacting particle systems has been recently addressed. In this paper we survey recent results obtained for this kind of systems, focusing on two types of population dynamics models: a) density-dependent mobility particle systems, with conserved total number of individuals, and b) birth-death systems, where annihilation-creation events are allowed, so that the total number of particles is not conserved. Both models present a pattern forming instability leading to surprisingly similar spatial structures. The two levels of description, microscopic-particle and macroscopic-density, are analyzed. From the last one, a clear identification of the pattern forming instability is obtained.
Description:9 pages.-- Final full-text version of the paper available at: http://dx.doi.org/10.1140/epjst/e2007-00167-x.
URI:http://hdl.handle.net/10261/6104
ISSN:1951-6355 (Print)
1951-6401 (Online)
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Appears in Collections:(IFISC) Artículos

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