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

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

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 --> infinity 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 ...

Stochastic and Deterministic Analysis of Sis Household Epidemics

We analyse SIS epidemics amongst populations partitioned into households. The analysis considers both the stochastic and deterministic model and unlike previous analysis, we consider general infectious period distributions. For the deterministic model, we prove the existence of an endemic equilibrium for the epidemic if and only if the threshold parameter, R∗ > 1. Furthermore, by utilising Mark...

The Multiconfigurational Self-Consistent-Field Method

These notes describe the multiconfigurational self-consistent-field (MCSCF) method, which is a general approach for describing chemical systems in which a single electron configuration is no longer an adequate description of the electronic structure. This commonly happens in reactions that break or form chemical bonds, diradicals, and metals of the first transition row. A single-determinant, re...

in stochastic SIS epidemics

Solution of self-consistent field equations by the recursion method

We show that the equations of the Coherent Potential Approximation (C.P.A.) can be