Bursts of Vertex Activation and Epidemics in Evolving Networks

PLoS Computational Biology

Volumn 9, Issue 3, 2013, Pages

  Rocha, Luis E C ^a   Blondel, Vincent D ^a  

^a UNIVERSITÉ CATHOLIQUE DE LOUVAIN   (Belgium)

Author keywords

[No Author keywords available]

Indexed keywords

EPIDEMIOLOGY; STOCHASTIC SYSTEMS;

CONTACT PATTERN; DYNAMIC NATURE; EMPIRICAL STUDIES; EVOLVING NETWORKS; HIGH ACTIVITY; PROPERTY; STOCHASTIC-MODELING; TEMPORAL NETWORKS; TEMPORAL STRUCTURES; TIME INTERVAL;

STOCHASTIC MODELS;

ARTICLE; DISEASE DURATION; DISEASE TRANSMISSION; EPIDEMIC; INFECTION RISK; INFECTION SENSITIVITY; INTER EVENT INTERVAL; PREVALENCE; PROBABILITY; SECONDARY INFECTION; STATISTICAL PARAMETERS; STOCHASTIC MODEL; TEMPORAL ANALYSIS; TEMPORAL NETWORK MODEL; TURNOVER TIME;

EID: 84875987140     PISSN: 1553734X     EISSN: 15537358     Source Type: Journal    
DOI: 10.1371/journal.pcbi.1002974     Document Type: Article

References (39)

1. Newman M (2010) Networks: An introduction. USA: Oxford University Press. 720p.
2. Costa LDF, Oliveira ON Jr, Travieso G, Rodrigues FA, Villas Boas PR, et al. (2011) Analyzing and modeling real-world phenomena with complex networks: A survey of applications. Adv Phys 60 (3): 329-412.
3. Pastor-Satorras R, Vespignani A, (2001) Epidemic spreading in scale-free networks. Phys Rev Lett 86 (14): 3200-3203.
4. Newman M, (2002) Spread of epidemic disease on networks. Phys Rev E 66: 016128.
5. Ueno T, Masuda N, (2008) Controlling nosocomial infection based on structure of hospital social networks. J Theor Biol 254 (3): 655-666.
6. Salathé M, Jones JH, (2010) Dynamics and control of diseases in networks with community structure. PLoS Comput Biol 6 (4): e1000736.
7. House T, (2012) Modelling epidemics on networks. Contemp Phys 53 (2): 213-225.
8. Vernon MC, Keeling MJ, (2009) Representing the UK's cattle herd as static and dynamic networks. Proc R Soc B 276 (1656): 469-476.
9. Liljeros F, Giesecke J, Holme P, (2007) The contact network of inpatients in a regional healthcare system: A longitudinal case study. Math Pop Stud 14 (4): 269-284.
10. Rocha LEC, Liljeros F, Holme P, (2010) Information dynamics shape the sexual networks of Internet-mediated prostitution. Proc Nat Acad Sci USA 107 (13): 5706-5711.
11. Salathé M, Kazandjieva M, Lee JW, Levis P, Feldman MW, et al. (2010) A high-resolution human contact network for infectious disease transmission. Proc Nat Acad Sci USA 107 (51): 22020-22025.
12. Isella L, Stehlé J, Barrat A, Cattuto C, Pinton J-F, et al. (2011) What's in a crowd? Analysis of face-to-face behavioral networks. J Theor Biol 271: 166-180.
13. Holme P, Saramäki J, (2012) Temporal networks. Phys Rep 519 (3): 97-125.
14. Barabási A-L, (2005) The origin of bursts and heavy tails in human dynamics. Nature 435: 207-211.
15. Malmgren RD, Stouffer DB, Motter AE, Amaral LAN, (2008) A Poissonian explanation for heavy tails in e-mail communication. Proc Nat Acad Sci USA 105 (47): 18153-18158.
16. Kalbfleisch JD, Prentice RL (2002) The statistical analysis of failure time data. Wiley Series in Probability and Statistics. USA: Wiley-Interscience. 462p.
17. Altizer S, Dobson A, Hosseini P, Hudson P, Pascual M, et al. (2006) Seasonality and the dynamics of infectious diseases. Ecol Lett 9: 467-484.
18. Keeling MJ, Rohani P (2007) Modeling infectious diseases in humans and animals. USA: Princeton University Press. 408p.
19. Bansal S, Read J, Pourbohloul B, Meyers LA, (2010) The dynamic nature of contact networks in infectious disease epidemiology. J Biol Dyn 4 (5): 478-489.
20. Volz E, Meyers LA, (2007) Susceptible-infected-recovered epidemics in dynamic contact networks. Proc R Soc B 274 (1628): 2925-2933.
21. Volz E, (2008) Susceptible-infected-recovered epidemics in populations with heterogeneous contact rates. Eur Phys J B 63: 381-386.
22. Smieszek T, Fiebig L, Scholz RW, (2009) Models of epidemics: when contact repetition and clustering should be included. Theor Biol Med Model 6: 11.
23. Kamp C, (2010) Untangling the interplay between epidemic spread and transmission network dynamics. PLoS Comput Biol 6 (11): e1000984.
24. Chen MI, Ghani AC, Edmunds J, (2008) Mind the gap: The role of time between sex with two consecutive partners on the transmission dynamics of gonorrhea. Sex Transm Dis 35 (5): 435-444.
25. Schmid BV, Kretzschmar M, (2012) Determinants of sexual network structure and their impact on cumulative network measures. PLoS Comput Biol 8 (4): e1002470.
26. Stehlé J, Voirin N, Barrat A, Cattuto C, Colizza V, et al. (2011) Simulation of a SEIR infectious disease model on the dynamic contact network of conference attendees. BMC Med 9: 87.
27. Morris M, Kretzschmar M, (1997) Concurrent partnerships and the spread of HIV. AIDS 11 (5): 641-648.
28. Vazquez A, Rácz B, Lukács A, Barabási A-L, (2007) Impact of non-Poisson activity patterns on spreading processes. Phys Rev Lett 98: 158702.
29. Min B, Goh K-I, Vazquez A, (2011) Spreading dynamics following bursty human activity patterns. Phys Rev E 83: 036102.
30. Rocha LEC, Liljeros F, Holme P, (2011) Simulated epidemics in an empirical spatiotemporal network of 50,185 sexual contacts. PLoS Comput Biol 7 (3): e1001109.
31. Karsai M, Kivelä M, Pan RK, Kaski K, Kertész J, et al. (2011) Small but slow world: How network topology and burstiness slow down spreading. Phys Rev E 83 (2): 025102 (R).
32. Kivelä M, Pan RK, Kaski K, Kertész J, Saramäki J, et al. (2012) Multiscale analysis of spreading in a large communication network. J Stat Mech 2012: P03005.
33. Miritello G, Moro E, Lara R, (2011) Dynamical strength of social ties in information spreading. Phys Rev E 83 (4): 045102 (R).
34. Clauset A, Shalizi CR, Newman MEJ, (2009) Power-law distributions in empirical data. SIAM Review 51 (4): 661-703.
35. Stehlé J, Barrat A, Bianconi G, (2010) Dynamical and bursty interactions in social networks. Phys Rev E 81 (3): 035101 (R).
36. Lloyd AL, (2001) Realistic distributions of infectious periods in epidemic models: Changing patterns of persistence and dynamics. Theor Popul Biol 60: 59-71.
37. Lee S, Rocha LEC, Liljeros F, Holme P, (2012) Exploiting temporal network structures of human interaction to effectively immunize populations. PLoS ONE 7 (5): e36439.
38. Earn DJD, He D, Loeb MB, Fonseca K, Lee BE, et al. (2012) Effects of school closure on incidence of pandemic influenza in Alberta, Canada. Ann Intern Med 156 (3): 173-181.
39. Macke BA, Maher JE, (1999) Partner notification in the United States: An evidence-based review. Am J Prev Med 17 (3): 230-242.