Behavior of susceptible-infected-susceptible epidemics on heterogeneous networks with saturation

The susceptible-infected-susceptible (SIS) epidemic models on the hetrogenous networks with saturation was discussed. The networks with connectivity distribution P(k) and scale-free networks (SF) networks with power law distributions represented the structure of interactions in the population. A saturation function C(k) was used which reduced the infection transmission rate λ across an edge going from a node with high connectivity k. The stochastic contact process on a hetrogenous regular lattice was also investegated by computer simulation and the results were compared with those obtained from mean-field theory with and without neglecting the degree-degree correlations.