Large epidemic thresholds emerge in heterogeneous networks of heterogeneous nodes

Scientific Reports

Volumn 5, Issue , 2015, Pages

  Yang, Hui ^a,b   Tang, Ming ^a   Gross, Thilo ^b  

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

^b UNIVERSITY OF BRISTOL   (United Kingdom)

Author keywords

[No Author keywords available]

Indexed keywords

BIOLOGICAL MODEL; COMMUNICABLE DISEASES; DISEASE PREDISPOSITION; EPIDEMIC; HUMAN;

COMMUNICABLE DISEASES; DISEASE SUSCEPTIBILITY; EPIDEMICS; HUMANS; MODELS, BIOLOGICAL;

EID: 84939863832     PISSN: None     EISSN: 20452322     Source Type: Journal    
DOI: 10.1038/srep13122     Document Type: Article

References (53)

1. Vespignani, A. Modelling dynamical processes in complex socio-technical systems. Nat. Phys. 8, 32-39 (2012).
2. Barrat, A., Barthelemy, M. & Vespignani, A. Dynamical processes on complex networks. Vol. 1, (Cambridge University Press, Cambridge, 2008).
3. Hufnagel, L., Brockmann, D. & Geisel, T. Forecast and control of epidemics in a globalized world. Proc. Natl. Acad. Sci. USA 101, 15124-15129 (2004).
4. Brockmann, D. et al. Dynamics of modern epidemics. SARS: A case study in emerging infections. Ch. 11, 81-91 (2005).
5. Colizza, V., Barrat, A., Barthelemy, M. & Vespignani, A. Predictability and epidemic pathways in global outbreaks of infectious diseases: the sars case study. BMC medicine 5, 34 (2007).
6. Janssen, M. A. et al. Toward a network perspective of the study of resilience in social-ecological systems. Ecology and Society 11, 15 (2006).
7. Karlen, A. Man and microbes: Disease and plagues in history and modern times. (Simon and Schuster, 1996).
8. Brockmann, D. & Helbing, D. The hidden geometry of complex, network-driven contagion phenomena. Science 342, 1337-1342 (2013).
9. Castellano, C. & Pastor-Satorras, R. Thresholds for epidemic spreading in networks. Phys. Rev. Lett. 105, 218701 (2010).
10. Boguna, M., Castellano, C. & Pastor-Satorras, R. Nature of the epidemic threshold for the susceptible-infected-susceptible dynamics in networks. Phys. Rev. Lett. 111, 068701 (2013).
11. Pastor-Satorras, R. & Vespignani, A. Epidemic spreading in scale-free networks. Phys. Rev. Lett. 86, 3200 (2001).
12. Colizza, V. & Vespignani, A. Invasion threshold in heterogeneous metapopulation networks. Phys. Rev. Lett. 99, 148701 (2007).
13. Parshani, R., Carmi, S. & Havlin, S. Epidemic threshold for the susceptible-infectious-susceptible model on random networks. Phys. Rev. Lett. 104, 258701 (2010).
14. Belik, V., Geisel, T. & Brockmann, D. Natural human mobility patterns and spatial spread of infectious diseases. Phys. Rev. X 1, 011001 (2011).
15. Wang, Y., Chakrabarti, D., Wang, C. X. & Faloutsos, C. Epidemic spreading in real networks: An eigenvalue viewpoint. In Reliable Distributed Systems, 2003. Proceedings. 22nd International Symposium on, IEEE 25-34 (2003).
16. Hamilton, K. E. & Pryadko, L. P. Tight lower bound for percolation threshold on an infinite graph. Phys. Rev. L 113, 208701 (2014).
17. Karrer, B., Newman, M. E. J. & Zdeborov, L. Percolation on sparse networks. Phys. Rev. L 113, 208702 (2014).
18. Rogers, T. Assessing node risk and vulnerability in epidemics on networks. Europhys. Lett. 109, 28005 (2015).
19. Demirel, G. & Gross, T. Absence of epidemic thresholds in a growing adaptive network. arXiv preprint 1209.2541 (2012).
20. Yang, Z. M. & Zhou, T. Epidemic spreading in weighted networks: An edge-based mean-field solution. Phys. Rev. E 85, 056106 (2012).
21. Wang, W., Tang, M., Zhang, H. F., Gao, H., Do, Y. & Liu, Z. H. Epidemic spreading on complex networks with general degree and weight distributions. Phys. Rev. E 90, 042803 (2014).
22. Miller, J. C. Epidemic size and probability in populations with heterogeneous infectivity and susceptibility. Phys. Rev. E 76, 010101 (2007).
23. Miller, J. C. Bounding the size and probability of epidemics on networks. J. Appl. Prob. 45, 498-512 (2008).
24. Neri, F. M., Perez-Reche, F. J., Taraskin, S. N. & Gilligan, C. A. Heterogeneity in susceptible-infected-removed (sir) epidemics on lattices. J. R. Soc. Interface 8, 201-209 (2011).
25. Neri, F. M. et al. The effect of heterogeneity on invasion in spatial epidemics: from theory to experimental evidence in a model system. PLoS Comput. Bio. 7, e1002174 (2011).
26. Katriel, G. The size of epidemics in populations with heterogeneous susceptibility. J. Math. Biol 65, 237-262 (2012).
27. Smilkov, D., Hidalgo, C. A. & Kocarev, L. Beyond network structure: How heterogeneous susceptibility modulates the spread of epidemics. Sci. Rep. 4, 4795 (2014).
28. Rodrigues, P., Margheri, A., Rebelo, C. & Gomes, M. G. M. Heterogeneity in susceptibility to infection can explain high reinfection rates. J. Theor. Biol 259, 280-290 (2009).
29. Volz, E. & Meyers, L. A. Epidemic thresholds in dynamic contact networks. J. R. Soc. Interface 6, 233-241 (2009).
30. Taylor, M., Taylor, T. J. & Kiss, I. Z. Epidemic threshold and control in a dynamic network. Phys. Rev. E 85, 016103 (2012).
31. Gorochowski, T. E., Bernardo, M. D. & Grierson, C. S. Evolving dynamical networks: A formalism for describing complex systems. Complexity 17, 18-25 (2012).
32. Li, X., Cao, L. & Cao, G. F. Epidemic prevalence on random mobile dynamical networks: individual heterogeneity and correlation. Eur. Phys. J. B 75, 319-326 (2010).
33. Holme, P. & Saramaki, J. Temporal networks. Phys. rep. 519, 97-125 (2012).
34. Cui, A. X., Wang, W., Tang, M., Fu, Y., Liang, X. M. & Do, Y. Efficient allocation of heterogeneous response times in information spreading process. Chaos 24, 033113 (2014).
35. Gross, T. & Blasius, B. Adaptive coevolutionary networks: a review. J. R. Soc. Interface 5, 259-271 (2008).
36. Gross, T. & Sayama, H. Adaptive networks. (Springer, 2009).
37. Perra, N., Goncalves, B., Pastor-Satorras, R. & Vespignani, A. Activity driven modeling of time varying networks. Sci. Rep. 2, 469 (2012).
38. Lentz, H. H. K., Selhorst, T. & Sokolov, I. M. Unfolding accessibility provides a macroscopic approach to temporal networks. Phys. Rev. Lett. 110, 118701 (2013).
39. Zhang, H. F., Xie, J. R., Tang, M. & Lai, Y. C. Suppression of epidemic spreading in complex networks by local information based behavioral responses. Chaos 24, 043106 (2014).
40. Gross, T., DLima, C. J. D. & Blasius, B. Epidemic dynamics on an adaptive network. Phys. Rev. Lett. 96, 208701 (2006).
41. Zanette, D. & Risau-Gusman, S. Infection spreading in a population with evolving contacts. J. Biol. Phys. 34, 135-148 (2008).
42. Risau-Gusman, S. & Zanette, D. Contact switching as a control strategy for epidemic outbreaks. J. Theor. Biol 257, 52-60 (2009).
43. Shaw, L. B. & Schwartz, I. B. Fluctuating epidemics on adaptive networks. Phys. Rev. E 77, 066101 (2008).
44. Schwartz, I. B. & Shaw, L. B. Rewiring for adaptation. Physics 3, 17 (2010).
45. Wang, B., Cao, L., Suzuki, H. & Aihara, K. Epidemic spread in adaptive networks with multitype agents. Physics A 44, 035101 (2011).
46. Shaw, L. B. & Schwartz, I. B. Enhanced vaccine control of epidemics in adaptive networks. Phys. Rev. E 81, 046120 (2010).
47. Yang, H., Tang, M. & Zhang, H. F. Efficient community-based control strategies in adaptive networks. New J. of Phys. 14, 123017 (2012).
48. Anderson, R. M. & May, R. M. Infectious diseases of humans. Vol. 1, (Oxford university press, Oxford, 1991).
49. Zschaler, G. & Gross, T. Largenet2: an object-oriented programming library for simulating large adaptive networks. Bioinformatics 29, 277-278 (2013).
50. Demirel, G., Vazquez, F., Bohme, G. A. & Gross, T. Moment-closure approximations for discrete adaptive networks. Physica D 267, 68-80 (2014).
51. Doedel, E. J. et al. Auto-07p: Continuation and bifurcation software for ordinary differential equations. (Concordia University, Montreal, 2010).
52. Moreno, Y., Pastor-Satorras, R. & Vespignani, A. Epidemic outbreaks in complex heterogeneous networks. Eur. Phys. J. B 26, 521-529 (2002).
53. Bohme, G. A. & Gross, T. Analytical calculation of fragmentation transitions in adaptive networks. Phys. Rev. E 83, 035101 (2011).