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Risk Estimate of Diseases in Scale-Free Networks |
| ZHANG Li-Jie1;XU Xin-Jian2 |
| 1Department of Physics, College of Science, Shanghai University, Shanghai 2004442Department of Mathematics, College of Science, ShanghaiUniversity, Shanghai 200444 |
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ZHANG Li-Jie, XU Xin-Jian 2008 Chin. Phys. Lett. 25 2311-2314 |
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Abstract We investigate the effect of risk estimate on the spread of diseases by the standard susceptible--infected--susceptible (SIS) model. The perception of the
risk of being infected is explained as cutting off links among individuals, either healthy or infected. We study this simple dynamics on scale-free networks by analytical methods and computer simulations. We obtain the self-consistency form for the infection prevalence in steady states. For a given transmission rate, there exists a linear relationship between the reciprocal of the density of
infected nodes and the estimate parameter. We confirm all the results by sufficient numerical simulations.
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| Keywords:
89.75.Hc
87.23.Ge
87.19.Xx
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Received: 25 February 2008
Published: 31 May 2008
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