(1) Mathematics Department, Faculty of Sciences, UAE University, Al-Ain, PO Box 17551, Egypt, EG;(2) Mathematics Department, Faculty of Sciences, Cairo University, Giza, Egypt, EG
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.
Received 24 February 2000