含有免疫作用的SIR传染病模型在复杂网络上的动力学行为

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Dynamic Behavior of SIR Epidemic Model with Immunity on Complex Networks

ZHANG Hai-feng1，FU Xin-chu2

1. College of Mathematics and Computational Science, Anhui University, Hefei
230039, China；2. School of Sciences, Shanghai University, Shanghai 200444, China

Received:2006-06-11 Revised:1900-01-01 Online:2007-04-30 Published:2007-04-30
Contact: FU Xin-chu

Abstract

Abstract: This paper studies the dynamic behavior of SIR epidemic model with immunity on complex networks. First, effects of immunization on the spread of epidemic on homogenous networks in which the node degrees obey an exponential distribution are considered. The effects of immunization and the quality of heterogeneous on the spread of epidemic in heterogeneous networks, in which the node degrees satisfy a powerlaw distribution rather than the exponential distribution, are then discussed.

Key words: dynamics, epidemic, immunization, complex network

CLC Number:

O 175.14

ZHANG Hai-feng;FU Xin-chu. Dynamic Behavior of SIR Epidemic Model with Immunity on Complex Networks[J]. Journal of Shanghai University（Natural Science Edition）.

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Dynamic Behavior of SIR Epidemic Model with Immunity on Complex Networks

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