Social distancing strategies against disease spreading

Fractals

Volumn 21, Issue 3-4, 2013, Pages

  Valdez, L D ^a   Buono, C ^a   MacRi, P A ^a   Braunstein, L A ^a,b  

^a UNIVERSIDAD NACIONAL DE MAR DEL PLATA   (Argentina)

^b BOSTON UNIVERSITY   (United States)

Author keywords

Complex Networks; Epidemics; Percolation

Indexed keywords

EPIDEMIOLOGY; PERCOLATION (SOLID STATE); SOLVENTS;

DISEASE SPREADING; EPIDEMIC; EPIDEMIC SPREADING; HEALTHY INDIVIDUALS; INFECTIOUS DISEASE; PERCOLATION; PERCOLATION PROCESS; PERCOLATION THEORY; QUENCHED DISORDER; SUSCEPTIBLE-INFECTED-RECOVERED MODEL;

COMPLEX NETWORKS;

EID: 84890329787     PISSN: 0218348X     EISSN: None     Source Type: Journal    
DOI: 10.1142/S0218348X13500199     Document Type: Article

References (61)

1. P. Bajardi, C. Poletto, J. Ramasco, M. Tizzoni, V. Colizza and A. Vespignani, Human mobility networks, travel restrictions, and the global spread of 2009 H1N1 pandemic, PLoS ONE 6 (2011) e16591
2. V. Colizza, A. Barrat, M. Barthélemy and A. Vespignani, Predictability and epidemic pathways in global outbreaks of infectious diseases: The SARS case study, BMC Med. 5 (2007) 34
3. M. Lipsitch, T. Cohen, B. Cooper, J. M. Robins, S. Ma, L. James, G. Gopalakrishna, S. K. Chew, C. C. Tan, M. H. Samore, D. Fisman and M. Murray, Transmission dynamics and control of severe acute respiratory syndrome, Science 300 (2003) 1966-1970
4. D. Balcan, H. Hu, B. Goncalves, P. Bajardi, C. Poletto, J. J. Ramasco, D. Paolotti, N. Perra, M. Tizzoni, W. V. den Broeck, V. Colizza and A. Vespignani, Seasonal transmission potential and activity peaks of the new influenza A (H1N1): A Monte Carlo likelihood analysis based on human mobility, BMC Med. 7 (2009) 45
5. S. Boccaletti, V. Latora, Y. Moreno, M. Chavez and D. Hwang, Complex networks: Structure and dynamics, Phys. Rep. 424 (2006) 175-308
6. R. M. Anderson and R. M. May, Infectious Diseases of Humans: Dynamics and Control (Oxford University Press, Oxford, 1992
7. P. Grassberger, On the critical behavior of the general epidemic process and dynamical percolation, Math. Biosci. 63 (1983) 157-172
8. M. E. J. Newman, Spread of epidemic disease on networks, Phys. Rev. E 66 (2002) 016128
9. J. C. Miller, Epidemic size and probability in populations with heterogeneous infectivity and susceptibility, Phys. Rev. E 76 (2007) 010101
10. E. Kenah and J. M. Robins, Second look at the spread of epidemics on networks, Phys. Rev. E 76 (2007) 036113
11. C. Lagorio, M. V. Migueles, L. A. Braunstein, E. Ĺopez and P. A. Macri, Effects of epidemic threshold definition on disease spread statistics, Physica A 388 (2009) 755-763
12. E. M. Volz, J. C. Miller, A. Galvani and L. A. Meyers, Effects of heterogeneous and clustered contact patterns on infectious disease dynamics, PLoS Comput. Biol. 7 (2011) e1002042
13. M. Salathé and J. H. Jones, Dynamics and control of diseases in networks with community structure, PLoS Comput Biol 6(4) (2010) e1000736
14. M. Bogüńa, R. Pastor-Satorras and A. Vespignani, Epidemic spreading in complex networks with degree correlations, in Statistical Mechanics of Complex Networks, eds. R. Pastor-Satorras, M. Rubi and A. Diaz-Guilera, Lecture Notes in Physics, Vol. 625 (Springer Berlin, Heidelberg, 2003), pp. 127-147
15. L. D. Valdez, C. Buono, L. A. Braunstein and P. A. Macri, Effect of degree correlations above the first shell on the percolation transition, EPL 96 (2011) 38001
16. P. Erdös and A. Ŕenyi, On the evolution of random graphs, Publication of the Mathematical Institute of the Hungarian Academy of Sciences 5 (1960) 17-61
17. M. E. J. Newman, Coauthorship networks and patterns of scientific collaboration, Proc. Natl. Acad. Sci. USA 101 (2004) 5200-5205
18. A. Barab́asi and R. Albert, Emergence of scaling in random networks, Science 286 (1999) 509-512
19. A-L. Barab́asi, R. Albert and H. Jeong, Scale-free characteristics of random networks: The topology of the world wide web, Physica A 281 (2000) 69-77
20. M. Faloutsos, P. Faloutsos and C. Faloutsos, On power-law relationships of the internet topology, Comput. Commun. Rev. 29 (1999) 251-262
21. V. M. Egúiluz, D. R. Chialvo, G. A. Cecchi, M. Baliki and A. V. Apkarian, Scale-free brain functional networks, Phys. Rev. Lett. 94 (2005) 018102
22. H. Jeong, S. P. Mason, A-L. Barabasi and Z. N. Oltvai, Lethality and centrality in protein networks, Nature 411 (2001) 41-42
23. L. A. Meyers, Contact network epidemiology: Bond percolation applied to infectious disease prediction and control, Bull. Am. Math. Soc. 44 (2007) 63-86
24. D. Stauffer and A. Aharony, Introduction to Percolation Theory (Taylor & Francis, 1985
25. H. S. Wilf, Generating Functionology (A. K. Peters, Ltd., Natick, MA, USA, 2006
26. D. S. Callaway, M. E. J. Newman, S. H. Strogatz and D. J. Watts, Network robustness and fragility: Percolation on random graphs, Phys. Rev. Lett. 85 (2000) 5468-5471
27. M. E. J. Newman, S. H. Strogatz and D. J. Watts, Random graphs with arbitrary degree distributions and their applications, Phys. Rev. E 64 (2001) 026118
28. L. D. Valdez, P. A. Macri and L. A. Braunstein, Temporal percolation of the susceptible network in an epidemic spreading, PLoS ONE 7 (2012) e44188
29. L. D. Valdez, P. A. Macri and L. A. Braunstein, Intermittent social distancing strategy for epidemic control, Phys. Rev. E 85 (2012) 036108
30. M. J. Ferrari, S. Bansal, L. A. Meyers and O. N. Bjørnstad, Network frailty and the geometry of herd immunity, Proceedings of the Royal Society B: Biological Sciences 273 (2006) 2743-2748
31. S. Bansal, B. Pourbohloul and L. A. Meyers, A comparative analysis of influenza vaccination programs, PLoS Med 3 (2006) e387
32. C. Lagorio, M. Dickison, F. Vazquez, L. A. Braunstein, P. A. Macri, M. V. Migueles, S. Havlin and H. E. Stanley, Quarantine-generated phase transition in epidemic spreading, Phys. Rev. E 83 (2011) 026102
33. C. Buono, C. Lagorio, P. A. Macri and L. A. Braunstein, Crossover from weak to strong disorder regime in the duration of epidemics, Physica A 391 (2012) 4181-4185
34. W. O. Kermack and A. G. McKendrick, A contribution to the mathematical theory of epidemics, Proc. Roy. Soc. Lond. A 115 (1927) 700-721
35. N. T. J. Bailey, The Mathematical Theory of Infectious Diseases and Its Applications, 2nd edn. (Griffin, London, 1975
36. J. C. Miller, Percolation and epidemics in random clustered networks, Phys. Rev. E 80 (2009) 020901
37. L. A. Meyers, B. Pourbohloul, M. Newman, D. M. Skowronski and R. C. Brunham, Network theory and SARS: Predicting outbreak diversity, J. Theor. Biol. 232 (2005) 71-81
38. Z. Wu, C. Lagorio, L. A. Braunstein, R. Cohen, S. Havlin and H. E. Stanley, Numerical evaluation of the upper critical dimension of percolation in scalefree networks, Phys. Rev. E 75 (2007) 066110
39. S. Bornholdt and H. Schuster (eds.), Handbook of Graphs and Networks From the Genome to the Internet (Wiley-VCH, Berlin, 2002
40. R. Cohen, D. Ben-Avraham and S. Havlin, Percolation critical exponents in scale-free networks, Phys. Rev. E 66 (2002) 036113
41. M. E. J. Newman, The structure and function of complex networks, SIAM Rev. 45 (2003) 167-256
42. L. A. Braunstein, Z. Wu, Y. Chen, S. V. Buldyrev, T. Kalisky, S. Sreenivasan, R. Cohen, E. Ĺopez, S. Havlin and H. E. Stanley, Optimal path and minimal spanning trees in random weighted networks, Int. J. Bifurcat. Chaos 17 (2007) 2215-2255
43. R. Cohen, K. Erez, D. Ben-Avraham and S. Havlin, Resilience of the internet to random breakdowns, Phys. Rev. Lett. 85 (2000) 4626-4628
44. J. C. Miller, A. C. Slim and E. M. Volz, Edgebased compartmental modelling for infectious disease spread, J. Roy. Soc. Interface 9 (2011) 890-906
45. J. C. Miller, A note on a paper by Erik Volz: SIR dynamics in random networks, J. Math. Biol. 62 (2011) 349-358
46. R. Cohen, K. Erez, D. Ben-Avraham and S. Havlin, Breakdown of the internet under intentional attack, Phys. Rev. Lett. 86 (2001) 3682-3685
47. M. Karsai, M. Kivelä, R. K. Pan, K. Kaski, J. Kertész, A-L. Barabási and J. Saramäki, Small but slow world: How network topology and burstiness slow down spreading, Phys. Rev. E 83 (2011) 025102
48. W. V. den Broeck, A. Barrat, V. Colizza, J-F. Pinton, C. Cattuto and A. Vespignani, Dynamics of person-To-person interactions from distributed RFID sensor networks, PLoS ONE 5 (2010) e11596
49. J. Stehĺe, A. Barrat, C. Cattuto, J-F. Pinton, L. Isella and W. V. den Broeck, What's in a crowd? Analysis of face-To-face behavioral networks, J. Theor. Biol. 271 (2011) 166-180
50. T. Opsahl, V. Colizza, P. Panzarasa and J. Ramasco, Prominence and control: The weighted richclub effect, Phys. Rev. Lett. 101 (2008) 168702
51. A. Barrat, M. Barth́elemy, R. Pastor-Satorras and A. Vespignani, The architecture of complex weighted networks, Proc. Natl. Acad. Sci. USA 101 (2004) 3747-3752
52. D. Watts and S. Strogatz, Collective dynamics of small-world networks, Nature 393 (1998) 440-442
53. R. Cohen and S. Havlin, Scale-free networks are ultrasmall, Phys. Rev. Lett. 90 (2003) 058701
54. L. A. Braunstein, S. V. Buldyrev, R. Cohen, S. Havlin and H. E. Stanley, Optimal paths in disordered complex networks, Phys. Rev. Lett. 91 (2003) 168701
55. S. Sreenivasan, T. Kalisky, L. A. Braunstein, S. V. Buldyrev, S. Havlin and H. E. Stanley., Effect of disorder strength on optimal paths in complex networks, Phys. Rev. E 70 (2004) 046133
56. M. Porto, S. Havlin, H. E. Roman and A. Bunde, Probability distribution of the shortest path on percolation cluster, its backbone and skeleton, Phys. Rev. E 58 (1998) 5205-5208
57. M. Cieplak, A. Maritan and J. R. Banavar, Invasion percolation and eden growth: Geometry and universality, Phys. Rev. Lett. 76 (1996) 3754-3757
58. L. A. Braunstein, S. V. Buldyrev, S. Havlin and H. E. Stanley, Universality classes for self-Avoiding walks in a strongly disordered system, Phys. Rev. E 65 (2001) 056128
59. L. Sander, C. Warren, I. Sokolov, C. Simon and J. Koopman, Percolation on heterogeneous networks as a model for epidemics, Math. Biosci. 180 (2002) 293-305
60. T. Gross and H. Sayama, Adaptive Networks: Theory, Models and Applications (Springer, 2009
61. T. Gross, C. J. D. D'Lima and B. Blasius, Epidemic dynamics on an adaptive network, Phys. Rev. Lett. 96 (2006) 208701