The SIS Model for Assessment of Epidemic Control in a Social Network

The phenomenon of epidemic spreading in a population with a hierarchical structure of interpersonal interactions is described and investigated numerically. The SIS model with incubation time and temporal immunity to a disease, is used. In our model location in social structure, effectiveness of different types of interactions and mobility of contemporary communities are taken into account. The influence of control measures on the spreading process is investigated as a function of initial conditions. The cost-effectiveness of mass immunizations campaigns, target vaccinations and the sick leaves is compared. A critical vaccinations coverage, sufficient for suppressing an epidemic as well as the probability that endemic state occurs, are calculated. The results of numerical calculations are similar to the solutions of the master equation for the spreading process. (author)