Epidemic models and percolation

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, , Citation J L Cardy and P Grassberger 1985 J. Phys. A: Math. Gen. 18 L267 DOI 10.1088/0305-4470/18/6/001

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1 Dept. of Phys., California Univ., Santa Barbara, CA, USA

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0305-4470/18/6/L267

Abstract

The authors argue that local epidemic models with immunisation are in the same universality class as percolation cluster growth models, and show that the static exponents are equal to all orders in the epsilon expansion. They calculate the dynamic exponent nu t=1+1/28 epsilon +O( epsilon 2) and relate this to other exponents involving the chemical distance.

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