Time-varying human mobility patterns with metapopulation epidemic dynamics

Physica A: Statistical Mechanics and its Applications

Volumn 392, Issue 19, 2013, Pages 4242-4251

  Gong, Yong Wang ^a,b   Song, Yu Rong ^a   Jiang, Guo Ping ^a  

^a NANJING UNIVERSITY OF POSTS AND TELECOMMUNICATIONS   (China)

^b YANCHENG INSTITUTE OF TECHNOLOGY   (China)

Author keywords

Complex network; Epidemic dynamics; Human mobility pattern; Reaction diffusion process

Indexed keywords

COMPLEX NETWORKS; DYNAMICS;

EPIDEMIC DYNAMICS; EPIDEMIC THRESHOLD; HUMAN MOBILITY; MEAN FIELD APPROACH; METAPOPULATION NETWORKS; METAPOPULATIONS; REACTION-DIFFUSION PROCESS; TIME VARIATIONS;

EPIDEMIOLOGY;

EID: 84880326152     PISSN: 03784371     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.physa.2013.05.028     Document Type: Article

References (37)

1. R.M. Anderson, R.M. May, and B. Anderson Infectious Diseases of Humans: Dynamics and Control, Vol. 28 1992 Wiley Online Library
2. N.T.J. Bailey The mathematical theory of infectious diseases, griffin, London; 1975 Mathematical Biology second ed. 1993 Springer-Verlag Berlin
3. R. Pastor-Satorras, and A. Vespignani Epidemic spreading in scale-free networks Physical Review Letters 86 2001 3200 3203
4. R. Pastor-Satorras, and A. Vespignani Epidemic dynamics in finite size scale-free networks Physical Review E 65 2002 035108(R)
5. J. Joo, and J.L. Lebowitz Behavior of susceptible-infected-susceptible epidemics on heterogeneous networks with saturation Physical Review E 69 2004 066105
6. J. Wang, Z. Liu, and J. Xu Epidemic spreading on uncorrelated heterogenous networks with non-uniform transmission Physica A: Statistical Mechanics and its Applications 382 2007 715 721
7. R. Yang, B. Wang, J. Ren, W. Bai, Z. Shi, W. Wang, and T. Zhou Epidemic spreading on heterogeneous networks with identical infectivity Physics Letters A 364 2007 189 193
8. T. Zhou, Z.Q. Fu, and B.H. Wang Epidemic dynamics on complex networks Progress in Natural Science 16 2006 452 457
9. H. Shi, Z. Duan, and G. Chen An SIS model with infective medium on complex networks Physica A: Statistical Mechanics and its Applications 387 2008 2133 2144
10. Y. Wang, G. Xiao, J. Hu, T.H. Cheng, and L. Wang Imperfect targeted immunization in scale-free networks Physica A: Statistical Mechanics and its Applications 388 2009 2535 2546
11. C. Castellano, and R. Pastor-Satorras Thresholds for epidemic spreading in networks Physical Review Letters 105 2010 218701
12. Q. Wu, and X. Fu Modelling of discrete-time SIS models with awareness interactions on degree-uncorrelated networks Physica A: Statistical Mechanics and its Applications 390 2011 463 470
13. S. Bargmann, and P.M. Jordan A second-sound based, hyperbolic SIR model for high-diffusivity spread Physics Letters A 375 2011 898 907
14. A. Barrat, M. Barthelemy, R. Pastor-Satorras, and A. Vespignani The architecture of complex weighted networks Proceedings of the National Academy of Sciences of the United States of America 101 2004 3747 3752
15. R. Guimera, S. Mossa, A. Turtschi, and L.A.N. Amaral The worldwide air transportation network: anomalous centrality, community structure, and cities' global roles Proceedings of the National Academy of Sciences 102 2005 7794 7799
16. M. Tang, L. Liu, and Z. Liu Influence of dynamical condensation on epidemic spreading in scale-free networks Physical Review E 79 2009 016108
17. V. Colizza, R. Pastor-Satorras, and A. Vespignani Reaction-diffusion processes and metapopulation models in heterogeneous networks Nature Physics 3 2007 276 282
18. V. Colizza, and A. Vespignani Epidemic modeling in metapopulation systems with heterogeneous coupling pattern: theory and simulations Journal of Theoretical Biology 251 2008 450 467
19. V. Belik, T. Geisel, and D. Brockmann Natural human mobility patterns and spatial spread of infectious diseases Physical Review X 1 2011 011001
20. Y. Ben-Zion, Y. Cohen, and N.M. Shnerb Modeling epidemics dynamics on heterogenous networks Journal of Theoretical Biology 264 2010 197 204
21. D. Balcan, and A. Vespignani Phase transitions in contagion processes mediated by recurrent mobility patterns Nature Physics 7 2011 581 586
22. C. Poletto, M. Tizzoni, and V. Colizza Heterogeneous length of stay of hosts movements and spatial epidemic spread Scientific reports 2 2012 467
23. H. Lund, L. Lizana, and I. Simonsen Effects of city-size heterogeneity on epidemic spreading in a metapopulation: a reaction-diffusion approach Journal of Statistical Physics 151 2013 367 382
24. T. Gross, C.J.D. D'Lima, and B. Blasius Epidemic dynamics on an adaptive network Physical Review Letters 96 2006 208701
25. J. Zhou, G. Xiao, S.A. Cheong, X. Fu, L. Wong, S. Ma, and T.H. Cheng Epidemic reemergence in adaptive complex networks Physical Review E 85 2012 036107
26. H.F. Zhang, Z.X. Wu, X.K. Xu, M. Small, B.H. Wang, The impacts of subsidy policies on vaccination decisions in contact networks, 2012, arXiv preprint. arXiv:1207.4553.
27. H. Zhang, M. Small, X. Fu, G. Sun, and B. Wang Modeling the influence of information on the coevolution of contact networks and the dynamics of infectious diseases Physica D: Nonlinear Phenomena 241 2012 1512 1517
28. Q. Wu, X. Fu, M. Small, and X.J. Xu The impact of awareness on epidemic spreading in networks Chaos 22 2012 013101
29. S. Meloni, N. Perra, A. Arenas, S. Gómez, Y. Moreno, and A. Vespignani Modeling human mobility responses to the large-scale spreading of infectious diseases Scientific Reports 1 2011 62
30. L. Hufnagel, D. Brockmann, and T. Geisel Forecast and control of epidemics in a globalized world Proceedings of the National Academy of Sciences of the United States of America 101 2004 15124 15129
31. J. Saldaña Continuous-time formulation of reaction-diffusion processes on heterogeneous metapopulations Physical Review E 78 2008 012902
32. D. Juher, J. Ripoll, and J. Saldaña Analysis and monte carlo simulations of a model for the spread of infectious diseases in heterogeneous metapopulations Physical Review E 80 2009 041920
33. N. Masuda Effects of diffusion rates on epidemic spreads in metapopulation networks New Journal of Physics 12 2010 093009
34. R. Pastor-Satorras, A. Vázquez, and A. Vespignani Dynamical and correlation properties of the internet Physical Review Letters 87 2001 258701
35. S.N. Dorogovtsev, and J.F.F. Mendes Evolution of Networks: From Biological Nets to the Internet and WWW 2003 Oxford University Press
36. M. Catanzaro, M. Boguñá, and R. Pastor-Satorras Generation of uncorrelated random scale-free networks Physical Review E 71 2005 027103
37. M. Molloy, and B. Reed A critical point for random graphs with a given degree sequence Random Structures & Algorithms 6 1995 161 180 Sciences Planning Fund of China