Compact pairwise methods for susceptible–infected–susceptible epidemics on weighted heterogeneous networks

Qingchu Wu and K.M. Ariful Kabir

Physica A: Statistical Mechanics and its Applications, 2023, vol. 621, issue C

Abstract: We analyze the spreading of susceptible–infected–susceptible epidemics on random networks with general weight and degree distributions. We generalize the compact pairwise mean-field model from the unweighted network to the weighted network. By using the probability theory, we also develop an asymmetrical compact model, which takes into account the transitivity of edges where a vertex passes the disease to a neighboring node. Simulations show that the new model outperforms the previous method on scale-free networks. In addition, the condition of epidemic outbreak is analytically derived based on the perron complement of a matrix. Our results suggest that the heterogeneity of weight distribution can remarkably decrease the likelihood of an epidemic outbreak for the nonlinear transmission rate. Interestingly, the epidemic threshold can be slightly affected by the weight heterogeneity on a heterogeneous network but cannot on a homogeneous network for the linear transmission rate.

Keywords: Epidemic spreading; Heterogeneous networks; Weight distribution; Stochastic simulations (search for similar items in EconPapers)
Date: 2023
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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:621:y:2023:i:c:s0378437123003606

DOI: 10.1016/j.physa.2023.128805

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