Spreading dynamics of a disease-awareness SIS model on complex networks

International Journal of Biomathematics

Volumn 6, Issue 4, 2013, Pages

  Lin, Bei ^a   Sun, Zhenlong ^a   Fu, Xinchu ^a   Zhu, Guanghu ^b  

^a SHANGHAI UNIVERSITY   (China)

^b GUILIN UNIVERSITY OF ELECTRONIC TECHNOLOGY   (China)

Author keywords

Awareness; Global stability; Individual movement; Unawareness

Indexed keywords

EID: 84880882103     PISSN: 17935245     EISSN: 17937159     Source Type: Journal    
DOI: 10.1142/S1793524513500253     Document Type: Article

References (21)

1. S. Funk, E. Gilad and V. A. A. Jansen, The spread of awareness and its impact on epidemic outbreaks, Proc. Natl. Acad. Sci. USA 106 (2009) 6872-6877.
2. S. Funk, E. Gilad and V. A. A. Jansen, Endemic disease, awareness, and local behavioural response, J. Theor. Biol. 264 (2010) 501-509.
3. T. Gross and G. Kevrekidis, Robust oscillations in SIS epidemics on adaptive networks: Coarse-graining by automated moment closure, Europhys. Lett. 82 (2008) 38004.
4. N. Jongsawat and W. Premchaiswadi, A study of two different experimental settings for group awareness information in a web-based group decision support system, Int. J. Info. Technol. Decision Making 10 (2011) 231-268.
5. G. Katriel, Stochastic discrete-time age-of-infection epidemic models, Int. J. Biomath. 6 (2013) 1250066.
6. N. Kaur, M. Ghosh and S. S. Bhatia, Modeling the spread of HIV in a stage structured population: Effect of awareness, Int. J. Biomath. 5 (2012) 1250040.
7. A. Lajmanovich and J. A. Yorke, A deterministic model for gonorrhea in a nonhomogeneous population, Math. Biosci. 28 (1976) 221-236.
8. M. Li, A. Orgun, J. Xiao, W. Zhongc and L. Xue, The impact of human activity patterns on asymptomatic infectious processes in complex networks, Physica A 391 (2012) 3718-3728.
9. R. M. May and A. L. Lioyd, Infection dynamics on scale-free networks, Phys. Rev. E 64 (2001) 066112.
10. A. K. Misra, A. Sharma and V. Singh, Effect of awareness programs in controlling the prevalence of an epidemic with delay, Int. J. Biomath. 19 (2011) 389-402.
11. R. Pastor-Satorras and A. Vespigani, Epidemic dynamics and endemic states in complex network, Phys. Rev. Lett. 63 (2001) 066177.
12. R. Pastor-Satorras and A. Vespignani, Epidemic spreading in scale-free networks, Phys. Rev. Lett. 86 (2001) 3200-3203.
13. P. van den Driessche and J. Watmough, Reproduction numbers and sub-threshold endemic equilibria for compartmental models of disease transmission, Math. Biosci. 180 (2002) 29-48. (Pubitemid 35304346)
14. Q. C. Wu and X. C. Fu, Weak mean-field approximation for discrete epidemic models in scale-free networks, J. Biol. Syst. 19 (2011) 403-416.
15. Q. C. Wu and X. C. Fu, Modelling of discrete-time SIS models with awareness interactions on degree-uncorrelated networks, Physica A 390 (2011) 463-470.
16. Q. C. Wu, X. C. Fu, M. Small and X. J. Xu, The impact of awareness on epidemic spreading in networks, Chaos 22 (2012) 013101.
17. Q. C. Wu, X. C. Fu and G. H. Zhu, Global attractiveness of discrete-time epidemic outbreaks in networks, Int. J. Biomath 5 (2012) 1250004.
18. Y. N. Xiao, A Semi-stochastic model for HIV population dynamics, Int. J. Biomath. 2 (2009) 391-404.
19. X. Zhao and Z. Jing, Global asymptotic behavior in some cooperative systems of functional differential equations, Canadian Appl. Math. Quart. 4 (1996) 421-444.
20. G. H. Zhu, X. C. Fu and G. R. Chen, Global attractivity of a network-based epidemic SIS model with nonlinear infectivity, Commun. Nonlinear Sci. Numer. Simulat. 17 (2012) 2588-2594.
21. G. H. Zhu, X. C. Fu and G. R. Chen, Spreading dynamics and global stability of a generalized epidemic model on complex heterogeneous networks, Appl. Math. Model. 36 (2012) 5808-5817.