In this paper, we study the epidemic spreading in scale-flee networks and propose a new susceptible-infected- recovered （SIR） model that includes the effect of individual vigilance. In our model, the effective sprea...In this paper, we study the epidemic spreading in scale-flee networks and propose a new susceptible-infected- recovered （SIR） model that includes the effect of individual vigilance. In our model, the effective spreading rate is dynamically adjusted with the time evolution at the vigilance period. Using the mean-field theory, an analytical result is derived. It shows that individual vigilance has no effect on the epidemic threshold. The numerical simulations agree well with the analytical result. Purthermore, we investigate the effect of individual vigilance on the epidemic spreading speed. It is shown that individual vigilance can slow the epidemic spreading speed effectively and delay the arrival of peak epidemic infection.展开更多
In this article,a modified susceptible-infected-removed(SIR)model is proposed to study the influence of diversity of node anti-attack abilities on the threshold of propagation in scale-free networks.In particular,a vu...In this article,a modified susceptible-infected-removed(SIR)model is proposed to study the influence of diversity of node anti-attack abilities on the threshold of propagation in scale-free networks.In particular,a vulnerability function related to node degree is introduced into the model to describe the diversity of a node anti-attack ability.Analytical results are derived using the mean-field theory and it is observed that the diversity of anti-attack of nodes in scale-free networks can increase effectively the threshold of epidemic propagation.The simulation results agree with the analytical results.The results show that the vulnerability functions can help adopt appropriate immunization strategies.展开更多
基金Project supported by the National Natural Science Foundation of China(Grant No.60874091)the Six Projects Sponsoring Talent Summits of Jiangsu Province,China(Grant No.SJ209006)+1 种基金the Natural Science Foundation of Jiangsu Province,China(Grant No.BK2010526)the Graduate Student Innovation Research Project of Jiangsu Province,China(Grant No.CXLX110417)
文摘In this paper, we study the epidemic spreading in scale-flee networks and propose a new susceptible-infected- recovered （SIR） model that includes the effect of individual vigilance. In our model, the effective spreading rate is dynamically adjusted with the time evolution at the vigilance period. Using the mean-field theory, an analytical result is derived. It shows that individual vigilance has no effect on the epidemic threshold. The numerical simulations agree well with the analytical result. Purthermore, we investigate the effect of individual vigilance on the epidemic spreading speed. It is shown that individual vigilance can slow the epidemic spreading speed effectively and delay the arrival of peak epidemic infection.
基金supported by the Program for New Century Excellent Talents in University of China(NCET-06-0510)the National Natural Science Foundation of China(60874091)+1 种基金the Six Projects Sponsoring Talent Summits of Jiangsu Province(SJ209006)the Scientific Innovation Program for University Research Students in Jiangsu Province of China(CX08B_081Z)
文摘In this article,a modified susceptible-infected-removed(SIR)model is proposed to study the influence of diversity of node anti-attack abilities on the threshold of propagation in scale-free networks.In particular,a vulnerability function related to node degree is introduced into the model to describe the diversity of a node anti-attack ability.Analytical results are derived using the mean-field theory and it is observed that the diversity of anti-attack of nodes in scale-free networks can increase effectively the threshold of epidemic propagation.The simulation results agree with the analytical results.The results show that the vulnerability functions can help adopt appropriate immunization strategies.
