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Frontiers of Electrical and Electronic Engineering

ISSN 2095-2732

ISSN 2095-2740(Online)

CN 10-1028/TM

Front. Electr. Electron. Eng.    2008, Vol. 3 Issue (2) : 129-135    https://doi.org/10.1007/s11460-008-0033-3
Epidemic spreading behavior with time delay on local-world evolving networks
XIA Chengyi1, LIU Zhongxin1, CHEN Zengqiang1, YUAN Zhuzhi1, XIA Chengyi2, SUN Shiwen2
1.Department of Automation, Nankai University; 2.School of Computer Science and Technology, Tianjin University of Technology;
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Abstract An improved susceptible-infected-susceptible (SIS) model in the local-world evolving network model is presented to study the epidemic spreading behavior with time delay, which is added into the infected phase. The local-world evolving model displays a transition from the exponential network to the scale-free network with respect to the degree distribution. Two typical delay regimes, i.e., uniform and degree-dependent delays are incorporated into the SIS epidemic model to investigate the epidemic infection processes in the local-world network model. The results indicate that the infection delay will promote the epidemic outbreaks, increase the prevalence and reduce the critical threshold of epidemic spreading. It is also found that local-world size M will considerably influence the epidemic spreading behavior with time delay in the local-world network through large-scale numerical simulations. Simulation results are also of relevance to fight epidemic outbreaks.
Issue Date: 05 June 2008
 Cite this article:   
LIU Zhongxin,XIA Chengyi,CHEN Zengqiang, et al. Epidemic spreading behavior with time delay on local-world evolving networks[J]. Front. Electr. Electron. Eng., 2008, 3(2): 129-135.
 URL:  
https://academic.hep.com.cn/fee/EN/10.1007/s11460-008-0033-3
https://academic.hep.com.cn/fee/EN/Y2008/V3/I2/129
1 Albert R Barabási AL Statistical mechanicsof complex networksReviews of Modern Physics 2002 74(1)4797.
doi:10.1103/RevModPhys.74.47
2 Newman M E J The structure and function of complex networksSIAM Review 2003 45167256.
doi:10.1137/S003614450342480
3 Boccaletti S Latora V Moreno Y et al.Complex networks: structure and dynamicsPhysics Report 2006 424(4–5)175308.
doi:10.1016/j.physrep.2005.10.009
4 Watts D J Strogatz S H Collective dynamics of smallworld networksNature 1998 393(6684)440442.
doi:10.1038/30918
5 Barabási A L Albert R Emergence of scaling in randomnetworksScience 1999 286(5439)509512.
doi:10.1126/science.286.5439.509
6 Ma Z E Zhou Y C Wang W D et al.Epidemic dynamic mathematical model and studyBeijingSciencePress 2004 415(in Chinese)
7 Kephart J O Sorkin G B Chess D M Fighting computer virusesScientificAmerican 1997 277(5)5661
8 Zanette D H Dynamicsof rumor propagation on small-world networksPhysical Review E 2002 65041908.
doi: 10.1103/PhysRevE.65.041908
9 Zhou T Fu Z Q Wang B H Epidemic dynamics on complex networksProgress in Natural Science 2006 16(5)452457.
doi:10.1080/10020070612330019
10 Pastor-Satorras R Vespignani A Epidemic spreading in scale-freenetworksPhysical Review Letter 2001 86(14)32003203.
doi:10.1103/PhysRevLett.86.3200
11 Newman M E J Spread of epidemic disease on networksPhysical Review E 2002 66016128.
doi: 10.1103/PhysRevE.66.016128
12 Boguňá M Pastor-Satorras R Vespignani A Absence of epidemic threshold in scale-free networks withdegree correlationsPhysical Review Letters 2003 90028701.
doi: 10.1103/PhysRevLett.90.028701
13 Barthélemy M Barrat A Pastor-Satorras R et al.Dynamical patterns of epidemic outbreaksin complex heterogeneous networksJournalof Theoretical Biology 2005 235275288.
doi:10.1016/j.jtbi.2005.01.011
14 Xia C Y Liu Z X Chen Z Q et al.Dynamical spreading behavior of homogeneous andheterogeneous networksProgress in NaturalScience 2007 17(3)358365.
doi:10.1080/10020070612331343270
15 Li C G Chen G R Synchronization in generalcomplex dynamical networks with coupling delaysPhysica A 2004 343263278.
doi:10.1016/j.physa.2004.05.058
16 Foss J Longtin A Mensour B et al.Multistability and delayed recurrent loopsPhysical Review Letters 1996 76(4)708711.
doi:10.1103/PhysRevLett.76.708
17 Xu X J Peng H O Wang X M et al.Epidemic spreading with time delay in complex networksPhysica A 2006 367525530.
doi:10.1016/j.physa.2005.11.035
18 Li X Chen G R A local-world evolving networkmodelPhysica A 2003 328274286.
doi:10.1016/S0378‐4371(03)00604‐6
19 Sun S W Liu Z X Chen Z Q et al.Error and attack tolerance of evolving networkswith local preferential attachmentPhysicaA 2007 373851860.
doi:10.1016/j.physa.2006.05.049
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