Weakening connections in heterogeneous mean-field models

Two versions of the susceptible-infected-susceptible epidemic model, which have different transmission rules, are analysed. Both models considered on a weighted network to simulate mitigation in connection between individuals. The analysis is performed through heterogeneous mean-field approach scale-free network. For suitable choice parameters, both exhibit positive infection threshold, when they share same critical exponents associated with behaviour prevalence against rate. Nevertheless, threshold vanishes, these display algebraic decays zero for low values