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
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.