Modeling the influence of information on the coevolution of contact networks and the dynamics of infectious diseases

Physica D: Nonlinear Phenomena

Volumn 241, Issue 18, 2012, Pages 1512-1517

  Zhang, Haifeng ^a   Small, Michael ^b   Fu, Xinchu ^c   Sun, Guiquan ^d   Wang, Binghong ^e  

^a ANHUI UNIVERSITY   (China)

^b UNIVERSITY OF WESTERN AUSTRALIA   (Australia)

^c SHANGHAI UNIVERSITY   (China)

^d NORTH UNIVERSITY OF CHINA   (China)

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

Author keywords

Coevolution; Complex network; Hopf bifurcation; Infectious diseases

Indexed keywords

COMPLEX NETWORKS; HOPF BIFURCATION;

CO-EVOLUTION; CONTACT NETWORKS; CONTACT PATTERN; EXTENSIVE SIMULATIONS; INFECTIOUS DISEASE; PERCEIVED RISK; QUALITY OF INFORMATION; TIME DELAYED;

DISEASES;

EID: 84864283260     PISSN: 01672789     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.physd.2012.05.011     Document Type: Article

References (30)

1. W.O. Kermack, and A.G. McKendrick A contribution to the mathematical theory of epidemics Proc. Soc. A 115 1927 700
2. L. Zou, S. Ruan, and W. Zhang An age-structured model for the transmission dynamics of Hepatitis B SIAM J. Appl. Math. 70 2010 3121 3139
3. J. Zhang, Z. Jin, G.Q. Sun, T. Zhou, and S. Ruan Analysis of rabies in China: transmission dynamics and control PLoS ONE 6 7 2011 e20891
4. R. Pastor-Satorras, and A. Vespignani Epidemic dynamics and endemic states in complex networks Phys. Rev. E 63 2001 066117
5. R. Pastor-Satorras, and A. Vespignani Epidemic spreading in scale-free networks Phys. Rev. Lett. 86 2001 3200
6. R. Pastor-Satorras, and A. Vespignani Epidemic dynamics in finite size scale-free networks Phys. Rev. E 65 2002 035108(R)
7. R.M. May, and A.L. Lloyd Infection dynamics on scale-free networks Phys. Rev. E 64 2001 066112
8. C. Moore, and M.E.J. Newman Epidemics and percolation in small-world networks Phys. Rev. E 61 2000 5678
9. D.H. Zanette Critical behavior of propagation on small-world networks Phys. Rev. E 64 2001 050901(R)
10. H.F. Zhang, and X.C. Fu Spreading of epidemics on scale-free networks with nonlinear infectivity Nonlinear Anal. TMA 70 2009 3273 3278
11. Y. Moreno, J.B. Gómez, and A.F. Pacheco Epidemic incidence in correlated complex networks Phys. Rev. E 68 2003 035103(R)
12. R. Olinky, and L. Stone Unexpected epidemic thresholds in heterogeneous networks: the role of disease transmission Phys. Rev. E 70 2004 030902(R)
13. H.F. Zhang, J. Zhang, P. Li, M. Small, and B.H. Wang Risk estimation of infectious diseases determines the effectiveness of the control strategy Physica D 240 2011 943 948
14. F. Fu, D.I. Rosenbloom, L. Wang, and M.A. Nowak Imitation dynamics of vaccination behavior on social networks Proc. R. Soc. B 278 1702 2011 42 49
15. S. Funk, M. Salathe, and V.A.A. Jansen Modelling the influence of human behaviour on the spread of infectious diseases: a review J. R. Soc. Interface 7 5 2010 1247 1256
16. T. Gross, C.J.D. D'Lima, and B. Blasius Epidemic dynamics on an adaptive network Phys. Rev. Lett. 96 2006 208701
17. T. Gross, and I.G. Kevrekidis Robust oscillations in SIS epidemics on adaptive networks: coarse graining by automated moment closure Europhys. Lett. 82 2008 38004
18. T. Gross, and B. Blasius Adaptive coevolutionary networks: a review J. R. Soc. Interface 5 2008 259 271
19. S. Risau-Gusman, and D.H. Zanette Contact switching as a control strategy for epidemic outbreaks J. Theoret. Biol. 257 2009 52 60
20. D.H. Zanette, and S. Risau-Gusmsn Infection spreading in a population with evolving contacts J. Biol. Phys. 34 2008 135 148
21. L.B. Shaw, and I.B. Schwartz Fluctuating epidemics on adaptive networks Phys. Rev. E 77 2008 066101
22. L.B. Shaw, and I.B. Schwartz Enhanced vaccine control of epidemics in adaptive networks Phys. Rev. E 81 2010 046120
23. B. Wang, L. Cao, H. Suzuki, and K. Aihara Epidemic spread in adaptive networks with multitype agents J. Phys. A: Math. Theor. 44 2011 035101
24. S.V. Segbroeck, F.C. Santos, and J.M. Pacheco Adaptive contact networks change effective disease infectiousness and dynamics PLoS. Comput. Biol. 6 8 2010 e1000895
25. P. Erdös, and A. Rényi On random graphs Publ. Math. 6 1959 290 297
26. R.M. Anderson, and R.M. May Infectious Diseases in Humans 1992 Oxford University Press Oxford
27. A.L. Barabási, and R. Albert Emergence of scaling in random networks Science 286 1999 509 512
28. J. Dushoff Dynamical resonance can account for seasonality of influenza epidemics Proc. Natl. Acad. Sci. 101 2004 16915 16916 (Pubitemid 39601338)
29. C.T. Bauch Imitation dynamics predict vaccinating behaviour Proc. R. Soc. B 272 2005 1669 1675 (Pubitemid 41414674)
30. G.Q. Sun Influence of infection rate and migration on extinction of disease in spatial epidemics J. Theoret. Biol. 264 2010 95 103