We study the behavior of epidemic spreading in networks, and, in particular, scale free networks. We use the Susceptible-Infected-Removed (SIR) epidemiological model. We give simulation results for the dynamics of epidemic spreading. By mapping the model into a static bond-percolation model we derive analytical results for the total number of infected individuals. We study this model with various immunization strategies, including random, targeted and acquaintance immunization.
机构:
Jiangxi Normal Univ, Coll Math & Informat Sci, Nanchang 330022, Jiangxi, Peoples R ChinaJiangxi Normal Univ, Coll Math & Informat Sci, Nanchang 330022, Jiangxi, Peoples R China
Wu, Qingchu
Fu, Xinchu
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Shanghai Univ, Dept Math, Shanghai 200444, Peoples R ChinaJiangxi Normal Univ, Coll Math & Informat Sci, Nanchang 330022, Jiangxi, Peoples R China
机构:
Shanxi Univ, Complex Syst Res Ctr, Taiyuan 030006, Shanxi, Peoples R China
Shanxi Key Lab Math Tech & Big Data Anal Dis Cont, Taiyuan 030006, Shanxi, Peoples R ChinaShanxi Univ, Complex Syst Res Ctr, Taiyuan 030006, Shanxi, Peoples R China
Zhang, Xiaoguang
Shan, Chunhua
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Univ Toledo, Dept Math & Stat, 2801 W Bancroft St, Toledo, OH 43606 USAShanxi Univ, Complex Syst Res Ctr, Taiyuan 030006, Shanxi, Peoples R China
Shan, Chunhua
Jin, Zhen
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Shanxi Univ, Complex Syst Res Ctr, Taiyuan 030006, Shanxi, Peoples R China
Shanxi Key Lab Math Tech & Big Data Anal Dis Cont, Taiyuan 030006, Shanxi, Peoples R ChinaShanxi Univ, Complex Syst Res Ctr, Taiyuan 030006, Shanxi, Peoples R China
Jin, Zhen
Zhu, Huaiping
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York Univ, LAMPS, Toronto, ON M3J 1P3, Canada
York Univ, Dept Math & Stat, Toronto, ON M3J 1P3, CanadaShanxi Univ, Complex Syst Res Ctr, Taiyuan 030006, Shanxi, Peoples R China