Weakening connections in heterogeneous mean-field models
arXiv:2102.05032
Abstract
Two versions of the susceptible-infected-susceptible epidemic model, which have different transmission rules, are analysed. Both models are considered on a weighted network to simulate a mitigation in the connection between the individuals. The analysis is performed through a heterogeneous mean-field approach on a scale-free network. For a suitable choice of the parameters, both models exhibit a positive infection threshold, when they share the same critical exponents associated with the behaviour of the prevalence against the infection rate. Nevertheless, when the infection threshold vanishes, the prevalence of these models display different algebraic decays to zero for low values of the infection rate.
References in corpus (9)
- Statistical mechanics of complex networks
- Epidemic spreading in scale-free networks
- Assortative mixing in networks
- Epidemic dynamics and endemic states in complex networks
- Thresholds for epidemic spreading in networks
- Nature of the epidemic threshold for the susceptible-infected-susceptible dynamics in networks
- Robustness and fragility of the susceptible-infected-susceptible epidemic models on complex networks
- Effects of local population structure in a reaction-diffusion model of a contact process on metapopulation networks
- Epidemics in networks: A master equation approach