BRANCHED EDEN CLUSTERS IN THE DYNAMIC EPIDEMIC MODEL

Citation
N. Vandewalle et al., BRANCHED EDEN CLUSTERS IN THE DYNAMIC EPIDEMIC MODEL, Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics, 58(1), 1998, pp. 1152-1154
Citations number
17
Categorie Soggetti
Physycs, Mathematical","Phsycs, Fluid & Plasmas
ISSN journal
1063651X
Volume
58
Issue
1
Year of publication
1998
Pages
1152 - 1154
Database
ISI
SICI code
1063-651X(1998)58:1<1152:BECITD>2.0.ZU;2-1
Abstract
The dynamic epidemic model [J. Phys. A 29, 309 (1996)] considers a sim ple Eden growth history in a medium containing a fraction x of mobile hindrances (''particles''). These particles an supposed to be pushed b y the front of the growing cluster. We have investigated how the mediu m becomes organized after n successive Eden growth cycles. Application s to various fields are underlined. Unexpectedly, the mobile hindrance s aggregate such that the Eden cluster becomes branched after a finite number of growth cycles.