On social percolation and small world network

被引:15
作者
Ahmed, E
Abdusalam, HA
机构
[1] UAE Univ, Fac Sci, Dept Math, Al Ain, U Arab Emirates
[2] Cairo Univ, Fac Sci, Dept Math, Giza, Egypt
关键词
D O I
10.1007/s100510070218
中图分类号
O469 [凝聚态物理学];
学科分类号
070205 ;
摘要
The social percolation model is generalized to include the propagation of two mutually exclusive competing effects on a one-dimensional ring and a two-dimensional square lattice. It is shown that the result depends significantly on which effect propagates first i.e. it is a non-commutative phenomenon. Then the propagation of one effect is studied on a small network. It generalizes the work of Moore and Newman of a disease spread to the case where the susceptibility of the population is random. Three variants of the Domany-Kinzel model are given. One of them (delayed) does not have a chaotic region for some value of the delay weight.
引用
收藏
页码:569 / 571
页数:3
相关论文
共 12 条
[1]   On modeling epidemics. Including latency, incubation and variable susceptibility [J].
Ahmed, E ;
Agiza, HN .
PHYSICA A, 1998, 253 (1-4) :347-352
[2]   On the properties of small-world network models [J].
Barrat, A ;
Weigt, M .
EUROPEAN PHYSICAL JOURNAL B, 2000, 13 (03) :547-560
[3]   EQUIVALENCE OF CELLULAR AUTOMATA TO ISING-MODELS AND DIRECTED PERCOLATION [J].
DOMANY, E ;
KINZEL, W .
PHYSICAL REVIEW LETTERS, 1984, 53 (04) :311-314
[4]  
Edelstein-Keshet L., 1988, MATH MODELS BIOL
[5]   ARE DAMAGE SPREADING TRANSITIONS GENERICALLY IN THE UNIVERSALITY CLASS OF DIRECTED PERCOLATION [J].
GRASSBERGER, P .
JOURNAL OF STATISTICAL PHYSICS, 1995, 79 (1-2) :13-23
[6]  
MOORE C, UNPUB PHYS REV E
[7]   Spreading and shortest paths in systems with sparse long-range connections [J].
Moukarzel, CF .
PHYSICAL REVIEW E, 1999, 60 (06) :R6263-R6266
[8]   Renormalization group analysis of the small-world network model [J].
Newman, MEJ ;
Watts, DJ .
PHYSICS LETTERS A, 1999, 263 (4-6) :341-346
[9]   Social percolation models [J].
Solomon, S ;
Weisbuch, G ;
de Arcangelis, L ;
Jan, N ;
Stauffer, D .
PHYSICA A, 2000, 277 (1-2) :239-247
[10]  
SOLOMON S, 9909001 AD ORG