Spreading behavior of SIS epidemic model on networks with dynamical topology
XIA Cheng-yi1,2, LIU Zhong-xin2, CHEN Zeng-qiang2, YUAN Zhu-zhi2
1.Tianjin Key Laboratory of Intelligence Computing and Novel Software Technology,Tianjin University of Technology,Tianjin 300191,China;2.Dept.of Automation,Nankai University,Tianjin 300071,China
Abstract:
Based on the two-dimensional regular lattice,a modified SIS(Susceptible-Infected-Susceptible)epidemic model with motion rules is presented to study the spreading behavior on networks with dynamical topology.The mean-field theory is utilized to analyze the critical threshold(λc)of epidemic spreading under the randomly mixing conditions.It is found that λc is only related with the population density within the lattice.Large-scale numerical simulations are carried out to verify the mean-field results,and it is observed that the long-range probability p largely affects the epidemic spreading behavior.In addition,the effect of the dual time scales on epidemic spreading is also investigated by the simulations,and it is shown that the dual time scales accelerate the dynamic spreading behavior.The results indicate that the model with motion can help us to further understand the real epidemics.
Key words: complex networks epidemic spreading dynamical topology dual time scales
DOI：10.11916/j.issn.1005-9113.2010.06.006
Clc Number:O157.5
Fund:
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Spreading behavior of SIS epidemic model on networks with dynamical topology
本站小编 哈尔滨工业大学/2019-10-23
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