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Título

Spatial patterns in non-locally interacting particle systems

AutorLópez, Cristóbal ; Hernández-García, Emilio
Palabras claveBugs
Patterns
Interacting particle systems
Fecha de publicación5-jul-2007
EditorEDP Sciences
Società Italiana di Fisica
Springer
CitaciónEuropean Physical Journal-Special Topics 146, 37-45 (2007)
ResumenThe 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.
Descripción9 pages.-- Final full-text version of the paper available at: http://dx.doi.org/10.1140/epjst/e2007-00167-x.
URIhttp://hdl.handle.net/10261/6104
DOI10.1140/epjst/e2007-00167-x
ISSN1951-6355
E-ISSN1951-6401
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