[1]XIA Cheng-yi,LIU Zhong-xin,CHEN Zeng-qiang,et al.Transmission dynamics in complex networks[J].CAAI Transactions on Intelligent Systems,2009,4(5):392-397.[doi:10.3969/j.issn.1673-4785.2009.05.002]
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Transmission dynamics in complex networks

CAAI Transactions on Intelligent Systems[ISSN 1673-4785/CN 23-1538/TP] Volume: 4 Number of periods: 2009 5 Page number: 392-397 Column: 综述 Public date: 2009-10-25
Title:
Transmission dynamics in complex networks
Author(s):
XIA Cheng-yi 1; 2;  LIU Zhong-xin3;  CHEN Zeng-qiang3;  YUAN Zhu-zhi3
1.School of Management, Tianjin University, Tianjin 300072, China; 2.Tianjin Key Laboratory of Intelligence Computing and Novel Software Technology, Tianjin University of Technology, Tianjin 300191, China； 3.Department of Automation, Nankai University, Tianjin 300071, China
Keywords:
complex systems;  complex networks;  epidemic dynamics;  disease spreading
CLC:
TP183；O231.5；N945.12
DOI:
10.3969/j.issn.1673-4785.2009.05.002
Abstract:
Analysis of the spread of infectious diseases within social populations and the processes used by computer viruses to diffuse on the Internet are active areas of study. They involve complex systems and the dynamics of epidemics. Related research, including progress in understanding epidemic dynamics, was reviewed in light of the topological structures of complex networks and the mechanisms of infection in epidemics. The application of epidemic dynamics to disease prevention and control was also explored. Several problems needing further study were pointed out, such as weighted evolution model of community or hierarchy， the spread of diseases within dynamic network configuration, micromechanisms of infection in epidemics and so on.
References:
［1］EUBANK S, GUCLU H, KUMAR V S A, et al. Modeling disease outbreaks in realistic urban social networks［J］. Nature, 2004, 429: 180-184.
［2］MURRAY J D. Mathematical biology (I): an introduction［M］. Berlin: Springer-Verlag, 2005.
［3］WATTS D J，STROGATZ S H. Collective dynamics of small world networks［J］. Nature, 1998, 393: 440-442.
［4］BARABASI A L, ALBERT R. Emergence of scaling in random networks ［J］. Science, 1999, 286: 509-512.
［5］ZHOU J, LIU Z H. Epidemic spreading in complex networks［J］. Frontiers of Physics in China, 2008, 3(3): 331-348.
［6］陈关荣. 复杂网络及其新近研究进展简介［J］. 力学进展，2008，38（6）：653-662.
CHEN Guanrong. Introduction to complex networks and their recent advances［J］. Advances in Mechanics, 2008, 38(6): 653-662.
［7］PASTORSATORRAS R, VESPIGNANI A. Epidemic spreading in scale-free networks［J］. Physical Review Letters, 2001, 86: 3200-3203.
［8］NEWMAN M E J, WATTS D J. Scaling and percolation in the small-world network model［J］. Physical Review E, 1999, 60: 7332-7342.
［9］MOUKARZEL C F. Spreading and shortest path in systems with long-range connections［J］. Physical Review E, 1999, 60: 6263-6266.
［10］KUPERMAN M, ABRAMSON G. Small-world effect in an epidemiological model［J］. Physical Review Letters, 2001, 86: 2909-2912.
［11］ZANETTE D H. Critical behavior of propagation on small- world networks［J］. Physical Review E, 2001, 64: 050901.
［12］BOGUNA M, PASTORSATORRAS R, VESPIGNANI A. Absence of epidemic threshold in scale-free networks with degree correlations［J］. Physical Review Letters, 2003, 90: 028701.
［13］MAY R M, LLOYD A L. Infection dynamics on scale-free networks［J］. Physical Review E, 2001, 64: 066112.
［14］PASTORSATORRAS R, VESPIGNANI A. Epidemic dynamics in finite size scale-free networks［J］. Physical Review E, 2002, 65: 035108.
［15］BARTHELEMY M, BARRAT A, PASTORSATORRAS R, et al. Velocity and hierarchical spread of epidemic outbreaks in scale-free networks［J］. Physical Review Letters, 2004, 92: 178701.
［16］XIA Chengyi, LIU Zhongxin, CHEN Zengqiang, et al. Dynamic spreading behavior of homogeneous and heterogeneous networks［J］. Progress in Natural Science, 2007, 17(3): 358-365.
［17］XIA Chengyi, LIU Zhongxin, CHEN Zengqiang, et al. Epidemic spreading behavior on local-world evolving networks［J］. Progress in Natural Science, 2008, 18(6): 653-658.
［18］夏承遗，刘忠信，陈增强，等. 复杂网络上带有直接免疫的SIRS类传染模型研究［J］. 控制与决策，2008，23（4）：468-472.
XIA Chengyi, LIU Zhongxin, CHEN Zengqiang, et al. SIRS epidemic model with direct immunization on complex networks［J］. Control and Decision, 2008, 23(4): 468-472.
［19］XIA Chengyi, LIU Zhongxin, CHEN Zengqiang, et al. A new multistage epidemiological model on complex networks［J］. Dynamics of Continuous, Discrete, and Impulsive Systems-Series B, 2007, 14(S6): 160-165.
［20］EGUILUZ V M, KLEMM K. Epidemic threshold in structured scale-free networks［J］. Physical Review Letters, 2002, 89: 108701.
［21］YAN G, ZHOU T, WANG J, et al. Epidemic spread in weighted scale-free networks［J］. Chinese Physics Letters, 2005, 22(2): 510-513.
［22］BARRAT A, BARTHLEMY M, VESPIGNAN V. Weighted evolving networks: coupling topology and weighted dynamics［J］. Physical Review Letters, 2004, 92: 228701.
［23］LIU Z H, HU B. Epidemic spreading in community networks［J］. Euro-Physics Letters, 2005, 72(2): 315-321.
［24］HUANG W, LI C G. Epidemic spreading in scale-free networks with community structure［J］. Journal of Statistical Mechanics: Theory and Experiment, 2008(1): P01014.
［25］ZHENG D F, HU P M, TRIMPER S. Epidemics and dimensionality in hierarchical networks［J］. Physica A, 2005, 352: 659-668.
［26］WATTS D J, DODDS P S. Identity and search in social networks［J］. Science, 2002, 296: 1302-1305.
［27］LI X, WANG X F. Controlling the spreading in small-world evolving networks: stability, oscillation, and topology［J］. IEEE Transactions on Automatic Control, 2006, 51(3): 534-540.
［28］ZHOU Y Z, LIU Z H, ZHOU J. Periodic wave of epidemic spreading in community networks［J］. Chinese Physics Letters, 2007, 24(2): 581-584.
［29］GROSS T, D’LIMA C J D, BLASIUS B. Epidemic dynamics on an adaptive networks［J］. Physical Review Letters, 2006, 96: 208701.
［30］XU X J, ZHANG X, MENDES J F F. Impacts of preference and geography on epidemic spreading［J］. Physical Review E, 2007, 76: 056109.
［31］JOO J, LEBOWITZ J L. Behavior of susceptible-infected-susceptible epidemics on heterogeneous networks with saturation［J］. Physical Review, 2004, 69: 066105.
［32］OLINKY R, STONE L. Unexpected epidemic threshold in heterogeneous networks: the role of disease transmission［J］. Physical Review E, 2004, 70: 030902.
［33］ZHOU T, LIU J G, BAI W J, et al. Behaviors of susceptible- infected epidemics on scale-free networks with identical infectivity［J］. Physical Review, 2006, 74: 056109.
［34］YANG R, WANG B H, REN J, et al. Epidemic spreading on heterogeneous networks with identical infectivity［J］. Physics Letters A, 2007, 364: 189-193.
［35］WANG J Z, LIU Z R, XU J H. Epidemic spreading on uncorrelated heterogeneous networks with non-uniform transmission［J］. Physica A, 2007, 382: 715-721.
［36］XIA C Y, LIU Z X, CHEN Z Q, et al. Spreading behavior of SIS model with non-uniform transmission on scalefree networks［J］. The Journal of China University of Posts and Telecommunication, 2009, 16(1):27-31.
［37］XIA C Y, LIU Z X, CHEN Z Q, et al. Epidemics of SIRS model with non-uniform transmission on scale-free networks ［J］. International Journal of Modern Physics B, 2009, 23(9): 2203-2213.
［38］FU X C, SMALL M, WALKER D M, et al. Epidemic dynamics on scale-free networks with piecewise linear infectivity and immunization［J］. Physical Review E, 2008, 77: 036113.
［39］LIU Z R, YAN J R, ZHANG J G, et al. Dynamics with〖LL〗feedback mechanism in exponential networks［J］. Chinese Physics Letters, 2006, 23(5): 1343-1346.
［40］SHI H G, DUAN Z S, CHEN G R. An SIS model with infective medium on complex networks［J］. Physica A, 2008, 387: 2133-2144.
［41］DUAN W Q, CHEN Z, LIU Z R. Epidemic spreading in contact networks based on exposure level［J］. Chinese Physics Letters, 2006, 23(5): 1347-1350.
［42］PASTOR-SATORRAS R, VESPIGNANI A. Immunization of complex networks［J］. Physical Review E, 2002, 65: 036104.
［43］AHMED E, ELGAZZAR A S, YOUSSEF A S. An epidemic model on small-world networks and ring vaccination［J］. International Journal of Modern Physics C, 2002, 13: 189-198.
［44］COHEN R, HAVLIN S， BEN-AVRAHAM D. Efficient immunization strategies for computer networks and populations［J］. Physical Review Letters, 2003, 91: 247901.
［45］GALLOS L K, LIJEROS F, ARGYRAKIS P, et al. Improving immunization strategies［J］. Physical Review E, 2007, 75: 045104.
［46］许?? 丹，李??? 翔，汪小帆. 复杂网络病毒传播的局域控制研究［J］. 物理学报， 2007, 56(7): 1313-1317.
?XU Dan, LI Xiang, WANG Xiaofan. An investigation on local area control of virus spreading in complex networks［J］. Acta Physica Sinica, 2007, 56(7): 1313-1317.
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