Epidemic spreading with nonlinear infectivity in weighted scale-free networks
| dc.creator | Chu, Xiangwei | |
| dc.creator | Zhang, Zhongzhi | |
| dc.creator | Guan, Jihong | |
| dc.creator | Zhou, Shuigeng | |
| dc.date | 2009-03-05 | |
| dc.date.accessioned | 2026-07-07T12:49:16Z | |
| dc.date.available | 2026-07-07T12:49:16Z | |
| dc.description | In this paper, we investigate the epidemic spreading for SIR model in weighted scale-free networks with nonlinear infectivity, where the transmission rate in our analytical model is weighted. Concretely, we introduce the infectivity exponent $α$ and the weight exponent $β$ into the analytical SIR model, then examine the combination effects of $α$ and $β$ on the epidemic threshold and phase transition. We show that one can adjust the values of $α$ and $β$ to rebuild the epidemic threshold to a finite value, and it is observed that the steady epidemic prevalence $R$ grows in an exponential form in the early stage, then follows hierarchical dynamics. Furthermore, we find $α$ is more sensitive than $β$ in the transformation of the epidemic threshold and epidemic prevalence, which might deliver some useful information or new insights in the epidemic spreading and the correlative immunization schemes. | |
| dc.description | 17 pages, 12 figures | |
| dc.identifier | https://arxiv.org/abs/0903.0924 | |
| dc.identifier | http://arxiv.org/abs/0903.0924 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/222342 | |
| dc.subject | Populations and Evolution | |
| dc.subject | Physics and Society | |
| dc.title | Epidemic spreading with nonlinear infectivity in weighted scale-free networks | |
| dc.type | text |