Stochastic and deterministic analysis of SIS household epidemics

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...

in stochastic SIS epidemics

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 ...

Modeling Simple Epidemics: SIS MODEL

This poster examines the question of how to model an epidemic. There are two standard modeling procedures: Deterministic model and Stochastic model. Deterministic modeling considers a structured mathematical framework, where one takes the actual number of new cases in a short interval of time to be proportional to the number of both susceptible and infectious individuals, as well as the length ...

SIS epidemics on Triadic Random Graphs

It has been shown in the past that many real-world networks exhibit community structures and non-trivial clustering which comes with the occurrence of a notable number of triangular connections. Yet the influence of such connection patterns on the dynamics of disease transmission is not fully understood. In order to study their role in the context of Susceptible-Infected-Susceptible (SIS) epide...