STEADY STATES OF EPIDEMIC SPREADING IN SMALL-WORLD NETWORKS

Xin-Jian Xu, Zhi-Xi Wu, Yong Chen () and Ying-Hai Wang
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Xin-Jian Xu: Institute of Theoretical Physics, Lanzhou University, Lanzhou Gansu 730000, China
Zhi-Xi Wu: Institute of Theoretical Physics, Lanzhou University, Lanzhou Gansu 730000, China
Yong Chen: Institute of Theoretical Physics, Lanzhou University, Lanzhou Gansu 730000, China
Ying-Hai Wang: Institute of Theoretical Physics, Lanzhou University, Lanzhou Gansu 730000, China

International Journal of Modern Physics C (IJMPC), 2004, vol. 15, issue 10, 1471-1477

Abstract: We consider a standardsusceptible–infected–susceptible(SIS) model to study the behaviors of steady states of epidemic spreading in small-world networks. Using analytical methods and large scale simulations, we recover the usual epidemic behavior with a critical thresholdλcbelow which infectious diseases die out. For the spreading rate λ far aboveλc, it was found that the density of infected individuals ρ as a function of λ has the propertyρ≈f(K)(lnλ-lnλc).

Keywords: Networks and genealogical trees; diseases; phase transitions (search for similar items in EconPapers)
Date: 2004
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Citations: View citations in EconPapers (1)

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DOI: 10.1142/S0129183104006881

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