SIS epidemics with household structure: the self-consistent field method

Details SIS epidemics with household structure: the self-consistent field method SIS epidemics with household structure: the self-consistent field method

2003-04-12

arxiv.org/abs/cond-mat/0304301v1

Physics

Condensed Matter

Statistical Mechanics

19 pages, 7 figures, submitted to Mathematical Biosciences

Scientific paper

We consider a stochastic SIS infection model for a population partitioned into $m$ households assuming random mixing. We solve the model in the limit $m \to \infty$ by using the self-consistent field method of statistical physics. We derive a number of explicit results, and give numerical illustrations. We then do numerical simulations of the model for finite $m$ and without random mixing. We find in many of these cases that the self-consistent field method is a very good approximation.

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