SIS epidemics with household structure: the self-consistent field method |
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| Authors: | Ghoshal G Sander L M Sokolov I M |
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| Institution: | a Michigan Center for Theoretical Physics, Department of Physics, University of Michigan, Ann Arbor, MI 48109-1120, USA
b Institut für Physik, Humboldt-Universität zu Berlin, Newtonstr. 15, 12489 Berlin, Germany |
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| Abstract: | 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→∞ 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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| Keywords: | SIS epidemic Households Stochastic models Statistical physics |
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