Effect of incubation period on epidemic spreading in complex networks |
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| Authors: | Huang Wei Jiang Rui Hu Mao-Bin and Wu Qing-Song |
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| Affiliation: | School of Engineering Science, University of Science and Technology of China, Hefei 230026, China |
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| 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. |
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| Keywords: | epidemic spreading incubation
period complex network |
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