Epidemic outbreaks in complex heterogeneous networks

European Physical Journal B

Volumn 26, Issue 4, 2002, Pages 521-529

  Moreno, Y ^a   Pastor Satorras, R ^b   Vespignani, A ^a  

^a ABDUS SALAM INTERNATIONAL CENTRE FOR THEORETICAL PHYSICS   (Italy)

^b UNIVERSITAT POLITÈCNICA DE CATALUNYA   (Spain)

Author keywords

05.70.Ln Nonequilibrium and irreversible thermodynamics; 87.23.Ge Dynamics of social systems; 89.75. k Complex systems

Indexed keywords

EID: 0000494582     PISSN: 14346028     EISSN: None     Source Type: Journal    
DOI: 10.1007/s10051-002-8996-y     Document Type: Article

References (43)

1. H.W. Hethcote, J.A. Yorke, Lect. Notes Biomath. 56, 1 (1984).
2. R.M. May, R.M. Anderson, Nature 326, 137 (1987).
3. R.M. May, R.M. Anderson, Phil. Trans. R. Soc. Lond. B 321, 565 (1988).
4. R.M. Anderson, R.M. May, Infectious diseases in humans (Oxford University Press, Oxford, 1992).
5. S.H. Strogatz, Nature 410, 268 (2001).
6. D.J. Watts, Small worlds: The dynamics of networks between order and randomness (Princeton University Press, New Jersey, 1999).
7. L.A.N. Amaral, A. Scala, M. Barthélémy, H.E. Stanley, Proc. Natl. Acad. Sci. USA 97, 11149 (2000).
8. A.-L. Barabási, R. Albert, Science 286, 509 (1999).
9. M. Faloutsos, P. Faloutsos, C. Faloutsos, Comput. Commun. Rev. 29, 251 (1999).
10. G. Caldarelli, R. Marchetti, L. Pietronero, Europhys. Lett. 52, 386 (2000).
11. R. Albert, H. Jeong, A.-L. Barabási, Nature 401, 130 (1999).
12. R.A. Albert, H. Jeong, A.-L. Barabási, Nature 409, 542 (2000).
13. D.S. Callaway, M.E.J. Newman, S.H. Strogatz, D.J. Watts, Phys. Rev. Lett. 85, 5468 (2000).
14. R. Cohen, K. Erez, D. ben-Avraham, S. Havlin, Phys. Rev. Lett. 86, 3682 (2001).
15. M.E.J. Newman, D.J. Watts, Phys. Rev. E 60, 5678 (1999).
16. C. Moore, M.E.J. Newman, Phys. Rev. E 61, 5678 (2000).
17. G. Abramson, M. Kuperman, Phys. Rev. Lett. 86, 2909 (2001).
18. R. Pastor-Satorras, A. Vespignani, Phys. Rev. Lett. 86, 3200 (2001).
19. R. Pastor-Satorras, A. Vespignani, Phys. Rev. E 63, 066117 (2001).
20. H.W. Hethcote, Theor. Pop. Biol. 14, 338 (1978).
21. R.M. May, R. M. Anderson, Math. Biosci. 72, 83 (1984).
22. R. Pastor-Satorras, A. Vespignani, Phys. Rev. E 65, 036104 (2002).
23. A.L. Lloyd, R.M. May, Science 292, 1316 (2001).
24. F. Liljeros et al., Nature 411, 907 (2001).
25. R.M. May, A.L. Lloyd, Phys. Rev. E 64, 066112 (2001).
26. J.D. Murray, Mathematical Biology (Springer Verlag, Berlin, 1993).
27. J. Marro, R. Dickman, Nonequilibrium phase transitions in lattice models (Cambridge University Press, Cambridge, 1999).
28. R. Pastor-Satorras, A. Vázquez, A. Vespignani, Phys. Rev. Lett. 87, 258701 (2001).
29. R. Pastor-Satorras, A. Vespignani, Phys. Rev. E 65, 035108 (2002).
30. P. Erdös, P. Rényi, Publ. Math. Inst. Hung. Acad. Sci. 5, 17 (1960).
31. D.J. Watts, S.H. Strogatz, Nature 393, 440 (1998).
32. A. Barrat, M. Weigt, Eur. Phys. J. B 13, 547 (2000).
33. M. Barthélémy, L.A.N. Amaral, Phys. Rev. Lett. 82, 3180 (1999).
34. M. Argollo de Menezes, C. Moukarzel, T.J.P. Penna, Europhys. Lett. 50, 574 (2000).
35. A. Barrat, M. Weigt, Eur. Phys. J. B 13, 547 (2000).
36. S.N. Dorogovtsev, J.F.F. Mendes, Evolution of networks, 2001, e-print cond-mat/0106144.
37. M. Abramowitz, I.A. Stegun, Handbook of mathematical functions. (Dover, New York, 1972).
38. R. Albert, A.-L. Barabási, Phys. Rev. Lett. 85, 5234 (2000).
39. S.N. Dorogovtsev, J.J.F.F. Mendes, A.N. Samukhin, Phys. Rev. Lett. 85, 4633 (2000).
40. P.L. Krapivsky, S. Redner, F. Leyvraz, Phys. Rev. Lett. 85, 4629 (2000).
41. B. Tadic, Physica A 293, 273 (2001).
42. S. Bornholdt, H. Ebel, Phys. Rev. E 64, 035104 (2001).
43. H.A. Simon, Biometrika 42, 425 (1955).