Epidemic spreading on hierarchical geographical networks with mobile agents

Communications in Nonlinear Science and Numerical Simulation

Volumn 19, Issue 5, 2014, Pages 1301-1312

  Han, Xiao Pu ^a,b   Zhao, Zhi Dan ^c   Hadzibeganovic, Tarik ^d   Wang, Bing Hong ^b,e  

^a HANGZHOU NORMAL UNIVERSITY   (China)

^b UNIVERSITY OF SCIENCE AND TECHNOLOGY OF CHINA   (China)

^c UNIVERSITY OF ELECTRONIC SCIENCE AND TECHNOLOGY OF CHINA   (China)

^d UNIVERSITY OF GRAZ   (Austria)

^e UNIVERSITY OF SHANGHAI FOR SCIENCE AND TECHNOLOGY   (China)

Author keywords

Epidemic control; Epidemic spreading; Hierarchical networks; Human mobility patterns

Indexed keywords

DIAGNOSIS; DISEASE CONTROL; POPULATION DISTRIBUTION; POPULATION DYNAMICS; POPULATION STATISTICS;

DEMOGRAPHIC FACTORS; EPIDEMIC CONTROL; EPIDEMIC SPREADING; GEOGRAPHICAL NETWORKS; HIERARCHICAL NETWORK; HUMAN MOBILITY; HUMAN MOBILITY PATTERN; MOBILITY PATTERN; POPULATION DENSITIES; TRAFFIC NETWORKS;

MOBILE AGENTS;

EID: 84887824510     PISSN: 10075704     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.cnsns.2013.09.002     Document Type: Article

References (48)

1. Simini F., González M.C., Maritan A., Barabási A.L. A universal model for mobility and migration patterns. Nature 2012, 484:96-100.
2. Pinto C.M.A., Mendes Lopes A., Tenreiro Machado J.A. A review of power laws in real life phenomena. Commun Nonlinear Sci Numer Simulat 2012, 17:3558-3578.
3. González M.C., Hidalgo C.A., Barabási A.L. Understanding individual human mobility patterns. Nature 2008, 453:779-782.
4. Brockmann D., Hufnagel L., Geisel T. The scaling laws of human travel. Nature 2006, 439:462-465.
5. Jiang B., Yin J., Zhao S. Characterizing the human mobility patterns in a large street network. Phys Rev E 2009, 80:021136.
6. Song C., Qu Z., Blumm N., Barabási A.L. Limits of predictability in human mobility. Science 2010, 327:1018-1021.
7. Barthelemy P., Bertolotti J., Wiersma D.S. A Lévy flight for light. Nature 2008, 453:495-498.
8. Song C., Koren T., Wang P., Barabási A.L. Modelling the scaling properties of human mobility. Nat Phys 2010, 6:818-8123.
9. Han X.P., Hao Q., Wang B.H., Zhou T. Origin of the scaling law in human mobility: Hierarchy of traffic systems. Phys Rev E 2011, 83:036117.
10. Wang P., González M.C., Hidalgo C.A., Barabási A.L. Understanding the spreading patterns of mobile phone viruses. Science 2009, 324:1071-1076.
11. Ni S., Weng W. Impact of travel patterns on epidemic dynamics in heterogeneous spatial metapopulation networks. Phys Rev E 2009, 79:016111.
12. Belik V., Geisel T., Brockmann D. Natural human mobility patterns and spatial spread of infectious diseases. Phys Rev X 2011, 1:011001.
13. Belik V., Geisel T., Brockmann D. Recurrent host mobility in spatial epidemics: beyond reaction-diffusion. Eur Phys J B 2011, 84:579-587.
14. Balcan D., Vespignani A. Phase transitions in contagion processes mediated by recurrent mobility patterns. Nat Phys 2011, 7:581-586.
15. Salathé M., Bengtsson L., Bodnar T.J., Brewer D.D., Brownstein J.S., Buckee C., Campbell E.M., Cattuto C., Khandelwal S., Mabry P.L., Vespignani A. Digital epidemiology. PLoS Comput Biol 2012, 8:e1002616.
16. Volchenkov D. Random walks and flights over connected graphs and complex networks. Commun Nonlinear Sci Numer Simulat 2011, 16:21-55.
17. Vespignani A. Modelling dynamical processes in complex socio-technical systems. Nat Phys 2012, 8:32-39.
18. Grabowski A., Rosińska M. The relationship between human behavior and the process of epidemic spreading in a real social network. Eur Phys J B 2012, 85:248.
19. Hufnagel L., Brockmann D., Geisel T. Forecast and control of epidemics in a globalized world. Proc Natl Acad Sci USA 2004, 101:15124-15129.
20. Toole J.L., Cha M., González M.C. Modeling the adoption of innovations in the presence of geographic and media influences. PLoS ONE 2012, 7:e29528.
21. Marcelino J., Kaiser M. Critical paths in a metapopulation model of H1N1: efficiently delaying influenza spreading through flight cancellation. PLoS Currents Influenza 2012, 10.1371/4f8c9a2e1fca8.
22. Watts D.J., Muhamad R., Medina D.C., Dodds P.S. Multiscale, resurgent epidemics in a hierarchical metapopulation model. Proc Natl Acad Sci USA 2005, 102:11157-11162.
23. Barthelemy M., Barrat A., Pastor-Satorras R., Vespignani A. Dynamical patterns of epidemic outbreaks in complex heterogeneous networks. J Theor Biol 2005, 235:275-288.
24. Zhou T., Liu J.G., Bai W.J., Chen G., Wang B.H. Behaviors of susceptible-infected epidemics on scale-free networks with identical infectivity. Phys Rev E 2006, 74:056109.
25. Barabási A.L. The origin of bursts and heavy tails in human dynamics. Nature 2005, 435:207-211.
26. Vázquez A., Rácz B., Lukács A., Barabási A.L. Impact of non-Poissonian activity patterns on spreading processes. Phys Rev Lett 2007, 98:158702.
27. Iribarren J.L., Moro E. Impact of human activity patterns on the dynamics of information diffusion. Phys Rev Lett 2009, 103:038702.
28. Bassetti S., Bischoff W.E., Sherertz R.J. Are SARS superspreaders cloud adults?. Emerg Infect Dis 2005, 11:637-638.
29. Bootsma M.C., Ferguson N.M. The effect of public health measures on the 1918 influenza pandemic in U.S. Cities. Proc Natl Acad Sci USA 2007, 104:7588-7593.
30. Chowell G., Bettencourt L.M., Johnson N., Alonso W.J., Viboud C. The 1918-1919 influenza pandemic in England and Wales: Spatial patterns in transmissibility and mortality impact. Proc R Soc B 2008, 275:501-508.
31. Murray C.J., Lopez A.D., Chin B., Feehan D., Hill K.H. Estimation of potential global pandemic influenza mortality on the basis of vital registry data from the 1918-20 pandemic: a quantitative analysis. Lancet 2006, 368:2211-2218.
32. McLeod M., Kelly H., Wilson N., Baker M.G. Border control measures in the influenza pandemic plans of six South Pacific nations: a critical review. J New Zealand Med Assoc. 2008, 121:62-72.
33. Ferguson N.M., Cummings D.A.T., Fraser C., Cajka J.C., Philip C., Cooley P.C., Burke D.S. Strategies for mitigating an influenza pandemic. Nature 2006, 442:448-452.
34. Wood J.G., Zamani N., MacIntyre C.R., Becker N.G. Effects of internal border control on spread of pandemic influenza. Emerg Inf Dis 2007, 13:1038-1045.
35. Bajardi P., Poletto C., Ramasco J.J., Tizzoni M., Colizza V., Vespignani A. Human mobility networks, travel restrictions, and the global spread of 2009 H1N1 pandemic. PLoS ONE 2011, 6:e16591.
36. Scalia-Tomba G., Wallinga J. A simple explanation for the low impact of border control as a countermeasure to the spread of an infectious disease. Math Biosci 2008, 214:70-72.
37. Cowling B.J., Lau L.L.H., Wu P., Wong H.W.C., Fang V.J., Riley S., Nishiura H. Entry screening to delay local transmission of 2009 pandemic influenza A (H1N1). BMC Infect Dis 2010, 10:82.
38. Liu X., Chen X., Takeuchi Y. Dynamics of an SIQS epidemic model with transport-related infection and exit-entry screenings. J Theor Biol 2011, 285:25-35.
39. Kitsak M., Gallos L.K., Havlin S., Liljeros F., Muchnik L., Stanley H.E., Makse H.A. Identification of influential spreaders in complex networks. Nat Phys 2010, 6:888-893.
40. Qiu T., Hadzibeganovic T., Chen G., Zhong L.X., Wu X.R. Cooperation in the snowdrift game on directed small-world networks under self-questioning and noisy conditions. Comput Phys Commun 2010, 181:2057-2062.
41. Lu X., Austin F., Chen S. Formation control for second-order multi-agent systems with time-varying delays under directed topology. Commun Nonlinear Sci Numer Simul 2012, 17:1382-1391.
42. Kwon S., Kim Y. Epidemic spreading in annealed directed networks: susceptible-infected-susceptible model and contact process. Phys Rev E 2013, 87:012813.
43. Lima F.W.S., Hadzibeganovic T., Stauffer D. Evolution of ethnocentrism on undirected and directed Barabási-Albert networks. Physica A 2009, 388:4999-5004.
44. Meyers L.A., Newman M.E.J., Pourbohloul B. Predicting epidemics on directed contact networks. J Theor Biol 2006, 240:400-418.
45. Pautasso M., Xu X., Jeger M.J., Harwood T.D., Moslonka-Lefebvre M., Pellis L. Disease spread in small-size directed trade networks: the role of hierarchical categories. J Appl Ecol 2010, 47:1300-1309.
46. Bettencourt L.M.A., Lobo J., Helbing D., Kühnert Ch., West G.B. Growth, innovation, scaling, and the pace of life in cities. Proc Natl Acad Sci USA 2007, 104:7301-7306.
47. Hollingsworth T.D., Klinkenberg D., Heesterbeek H., Anderson R.M. Mitigation strategies for pandemic influenza A: balancing conflicting policy objectives. PLoS Comput Biol 2011, 7:e1001076.
48. Zhao Z.D., Liu Y., Tang M. Epidemic variability in hierarchical geographical networks with human activity patterns. Chaos 2012, 22:023150.