Abstract We study the effect of incubation period on epidemic spreading in the Barabasi--Albert scale-free network and the Watts--Strogatz small world network by using a Suspectable-Incubated-Infected-Suspectable model. Our analytical investigations show that the epidemic threshold is independent of incubation period in both networks, which is verified by our large-scale simulation results. We also investigate the effect of incubation period on the epidemic dynamics in a supercritical regime. It is found that with the increase of incubation period ${\it\Omega} $, a damped oscillation evolution of $\rho_T$ (the ratio of persons in incubated state) appears and the time needed to reach a saturation value increases. Moreover, the steady value of $\rho _T $ increases and approaches to an asymptotic constant with the value of ${\it\Omega} $ increasing. As a result, the infected ratio $\rho _I$ decreases with the increase of ${\it\Omega}$ according to a power law.
Received: 02 August 2008
Revised: 22 August 2008
Accepted manuscript online:
Huang Wei(黄炜), Jiang Rui(姜锐), Hu Mao-Bin(胡茂彬), and Wu Qing-Song(吴清松) Effect of incubation period on epidemic spreading in complex networks 2009 Chin. Phys. B 18 1306
Characteristics of vapor based on complex networks in China Ai-Xia Feng(冯爱霞), Qi-Guang Wang(王启光), Shi-Xuan Zhang(张世轩), Takeshi Enomoto(榎本刚), Zhi-Qiang Gong(龚志强), Ying-Ying Hu(胡莹莹), and Guo-Lin Feng(封国林). Chin. Phys. B, 2022, 31(4): 049201.
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