Halting viruses in scale-free networks

Physical Review E - Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics

Volumn 65, Issue 5, 2002, Pages 4-

  Dezső, Zoltán ^a   Barabási, Albert László ^a  

^a UNIVERSITY OF NOTRE DAME   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 84894163026     PISSN: 1063651X     EISSN: None     Source Type: Journal    
DOI: 10.1103/PhysRevE.65.055103     Document Type: Article

References (28)

1. R. M. Anderson and R. M. May, Infectious Diseases of Humans: Dynamics and Control (Oxford University Press, Oxford, 1991);J. D. Murray, Mathematical Biology (Springer-Verlag, Berlin, 1993);O. Diekmann and J. A. P. Heesterbeek, Mathematical Epidemiology of Infectious Diseases: Model Building, Analysis, and Interpretation (Wiley, New York, 2000).
2. D. ben-Avraham and S. Havlin, Diffusion and Reactions in Fractals and Disordered Systems (Cambridge University Press, Cambridge, 2000).
3. M. E. J. Newman, e-print cond-mat/0201433
4. C. Moore and M. E. J. Newman, Phys. Rev. E 61, 5678 (2000)
5. M. Kuperman and G. Abramson, Phys. Rev. Lett. 86, 2909 (2001)
6. P. Grassberger, Math. Biosci. 63, 157 (1983).
7. R. Albert and A. L. Barabási, Rev. Mod. Phys. 74, 47 (2002)
8. S. N. Dorogovtsev and J. F. F. Mendes, Adv. Phys. 51, 1079 (2002);A. L. Barabasi, Phys. World 33(July 2001).
9. M. Faloutsos, P. Faloutsos, and C. Faloutsos, Comput. Commun. Rev. 29, 251(1999).
10. H. Ebel, L. I. Mielsh, and S. Bornholdt, e-print cond-mat/0201476.
11. A. L. Barabási and R. Albert, Science 286, 509 (1999)
12. A. L. Barabási, R. Albert, and H. Jeong, Physica A 272, 173 (1999).
13. F. Liljeros, C. R. Edling, L. A. N. Amaral, H. E. Stanley, and Y. Aberg, Nature (London) 411, 907 (2001).
14. P. Erdös and A. Rényi, Publ. Math. Inst. Hung. Acad. Sci. 5, 17 (1960);B. Bollobás, Random Graphs (Academic Press, London, 1985).
15. R. Albert, H. Jeong, and A. L. Barabási, Nature (London) 406, 378 (2000)
16. D. S. Callaway, M. E. J. Newman, S. H. Strogatz, and D. J. Watts, Phys. Rev. Lett. 85, 5468 (2000)
17. Phys. Rev. Lett.R. Cohen, K. Erez, D. ben-Avraham, and S. Havlin, 86, 3682 (2001)
18. Phys. Rev. Lett.R. CohenK. ErezD. ben-AvrahamS. Havlin85, 4626 (2000).
19. X. F. Wang and G. R. Chen, IEEE Trans. Circuits Syst., I: Fundam. Theory Appl. 49, 54 (2002)
20. J. Jost and M. P. Joy, Phys. Rev. E 65, 016201 (2002).
21. R. Pastor-Satorras and A. Vespignani, Phys. Rev. Lett. 86, 3200 (2001)
22. R. Pastor-SatorrasA. VespignaniPhys. Rev. E 63, 066117 (2001)
23. R. Pastor-SatorrasA. Vespignanie-print cond-mat/0202298.
24. P. Piot, M. Bartos, P. D. Ghys, N. Walker, and B. Schwartlander, Nature (London) 410, 968 (2001).
25. A. L. Lloyd and R. M. May, Science 292, 1316 (2001)
26. R. M. May and A. L. Lloyd, Phys. Rev. E 64, 066112 (2001).
27. A result similar to immunizing all nodes with degree (Formula presented) (i.e., (Formula presented) and the (Formula presented) case was studied independently by Pastor-Satorras and Vespignani [
28. R. Pastor-Satorras and A. Vespignani, Phys. Rev. E 65, 036104 (2002)], who considered the permanent immunization of a (Formula presented) fraction of nodes with k links, finding a finite epidemic threshold. Under permanent immunization nodes offered the cure will be immune to the virus, in contrast with the case studied here, in which cured nodes again become susceptible to the disease.