A percolation model for venereal epidemics. I. Mean-field theory

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Abstract
A percolation model, which the authors call bond percolation on antipercolation clusters, is introduced for venereal epidemics in a heterosexual population. A spin model which is equivalent to this model is found and solved in the Bethe cluster approximation. They obtain the static critical exponents beta =1 and gamma =1 using this approximation, and these are the same as the mean-field exponents for regular percolation. The approximate phase diagram for arbitrary coordination number z is also constructed. Finally, the probability that an infected individual belongs to an infected group with s individuals is obtained analytically in the limit z to infinity .

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