publication . Preprint . Article . Other literature type . 2001

Epidemic dynamics and endemic states in complex networks

Alessandro Vespignani; Romualdo Pastor-Satorras;
Open Access English
  • Published: 22 May 2001
  • Country: Spain
Abstract
We study by analytical methods and large scale simulations a dynamical model for the spreading of epidemics in complex networks. In networks with exponentially bounded connectivity we recover the usual epidemic behavior with a threshold defining a critical point below which the infection prevalence is null. On the contrary, on a wide range of scale-free networks we observe the absence of an epidemic threshold and its associated critical behavior. This implies that scale-free networks are prone to the spreading and the persistence of infections whatever spreading rate the epidemic agents might possess. These results can help understanding computer virus epidemics...
Read more
doi: 10.1103/physreve.63.066117
Subjects
arXiv: Quantitative Biology::Populations and EvolutionQuantitative Biology::OtherComputer Science::Social and Information Networks
free text keywords: Condensed Matter - Statistical Mechanics, Quantitative Biology, Mathematical Physics, General Physics and Astronomy, Statistical and Nonlinear Physics, Condensed Matter Physics, :Física [Àrees temàtiques de la UPC], Epidemics, Social systems, Infection, Epidemics in complex networks, Scale-free networks, Social networks, Epidèmies, Sistemes socials, Infecció, Complex system, Bounded function, Epidemic dynamics, Mathematics, Infection prevalence, Complex network, Statistical physics, Scale-free network
Related Organizations
Download fromView all 6 versions
arXiv.org e-Print Archive
Preprint . 2001
Provider: arXiv.org e-Print Archive
https://upcommons.upc.edu/bits...
Article
Provider: UnpayWall
Research Repository of Catalonia
Article
Provider: Research Repository of Catalonia
UPCommons. Portal del coneixement obert de la UPC
Article . 2001
Provider: UPCommons. Portal del coneixement obert de la UPC
View more
34 references, page 1 of 3

The leading behavior in the r.h.s. of Eq. (19), on the other hand, depends of the particular value of γ: (i) 0 < γ < 1: In this case, one has

[1] G. Weng, U.S. Bhalla and R. Iyengar, Science 284, 92 (1999); S. Wasserman and K. Faust, Social network analysis (Cambridge University Press, Cambridge, 1994).

[2] L. A. N. Amaral, A. Scala, M. Barth´el´emy, and H. E. Stanley, Proc. Nat. Acad. Sci. 97, 11149 (2000).

[3] H. Jeong, B. Tombor, R. Albert, Z. N. Oltvar, and A.-L. Barab´asi, Nature 407, 651 (2000).

[4] J. M. Montoya and R. V. Sol´e, preprint condmat/0011195.

[5] M. Faloutsos, P. Faloutsos, and C. Faloutsos, ACM SIGCOMM '99, Comput.Commun. Rev. 29, 251 (1999); A. Medina, I. Matt, and J. Byers, Comput. Commun. Rev. 30, 18 (2000); G. Caldarelli, R. Marchetti and L. Pietronero, Europhys. Lett. 52, 386 (2000).

[6] R. Albert, H. Jeong, and A.-L. Barab´asi, Nature 401, 130 (1999).

[7] B. H. Huberman and L. A. Adamic, Nature 401, 131 (1999).

[8] B. Bollobas, Random Graphs (Academic Press, London, 1985).

[9] P. Erd¨os and P. R´enyi, Publ. Math. Inst. Hung. Acad. Sci 5, 17 (1960).

[10] D. J. Watts and S. H. Strogatz, Nature 393, 440 (1998).

[11] M. Barth´el´emy and L. A. N. Amaral, Phys. Rev. Lett. 82, 3180 (1999); A. Barrat, preprint cond-mat/9903323.

[12] A. Barrat and M. Weigt, Eur. Phys. J. B 13, 547 (2000).

[13] D. J. Watts, Small Worlds: The dynamics of networks between order and randomness (Princeton University Press, New Jersey, 1999).

[14] A.-L. Barab´asi and R. Albert, Science 286, 509 (1999); A.-L. Barab´asi, R. Albert, and H. Jeong, Physica A 272, 173 (1999).

34 references, page 1 of 3
Powered by OpenAIRE Research Graph
Any information missing or wrong?Report an Issue