1Department of Physics, College of Science, Shanghai University, Shanghai 2004442Department of Mathematics, College of Science, ShanghaiUniversity, Shanghai 200444
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
摘要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.
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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2008, Vol. 25 
