Dynamical behavior of susceptible-infected-recovered-susceptible epidemic model on weighted networks

作者：Wu, Qingchu^*; Zhang, Fei

来源：Physica A: Statistical Mechanics and Its Applications , 2018, 491: 382-390.

DOI：10.1016/j.physa.2017.09.084

• Weighted networks
• Epidemic spreading
• Pairwise approximation

We study susceptible-infected-recovered-susceptible epidemic model in weighted, regular, and random complex networks. We institute a pairwise-type mathematical model with a general transmission rate to evaluate the influence of the link-weight distribution on the spreading process. Furthermore, we develop a dimensionality reduction approach to derive the condition for the contagion outbreak. Finally, we analyze the influence of the heterogeneity of weight distribution on the outbreak condition for the scenario with a linear transmission rate. Our theoretical analysis is in agreement with stochastic simulations, showing that the heterogeneity of link-weight distribution can have a significant effect on the epidemic dynamics.

• 出版日期2018-2-1
• 单位江西师范大学