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 ...

Among the various methods for treating magnetic models, Self-Consistent Harmonic Approximation (SCHA) has successfully described ferro and antiferromagnetism in many different scenarios. In particular, SCHA is a valuable easy formalism determining transition temperatures as, example, Berezinskii–Kosterlitz–Thouless. The heart of method includes thermal fluctuations through renormalization param...