2009/03/05 by Xiangwei Chu, Chu, Xiangwei, Zhongzhi Zhang +5
Biochemistry, Genetics and Molecular Biology · Physics and Astronomy · #FOS: Biological sciences #FOS: Physical sciences #Physics and Society (physics.soc-ph) #Populations and Evolution (q-bio.PE) #physics.soc-ph #q-bio.PE
paper · pdf · doi:10.48550/arxiv.0903.0924
17 pages, 12 figures
arxiv created 2009/03/05 · arxiv updated 2009/12/01
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.