Abstract
Epidemic spreading in percolation worlds has been investigated by Monte Carlo simulations, based on a correlated percolation model. It is found that the spreading behavior is greatly influenced by the spreading worlds. When the correlation changes from the weak limit to a strong one, the pattern consisting of sick individuals converts from the pattern of site percolation to that of Leath percolation in a percolation world. Correspondingly, the fractal dimension varies from the dimension of the random pattern to that of dense growth morphology. The critical correlation exponent α c = d w , where d w is the fractal dimension of the percolation world. Furthermore, the critical behavior of epidemic spreading is obviously affected by the spreading world also. The threshold of pathogenic ratio s c =1 (for uniform world) and 0.593 (for the critical percolation one), respectively, in the strong correlation limit.
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