Abstract.
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.
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Received 24 February 2000
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Ahmed, E., Abdusalam, H. On social percolation and small world network. Eur. Phys. J. B 16, 569–571 (2000). https://doi.org/10.1007/s100510070218
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DOI: https://doi.org/10.1007/s100510070218