Interaction of media and disease dynamics and its impact on emerging infection management

Discrete and Continuous Dynamical Systems - Series B

Volumn 20, Issue 1, 2015, Pages 215-230

  Wang, Qin ^a   Zhao, Laijun ^b,c   Huang, Rongbing ^d   Yang, Youping ^e   Wu, Jianhong ^d  

^a SHANGHAI MARITIME UNIVERSITY   (China)

^b SHANGHAI JIAO TONG UNIVERSITY   (China)

^c Shanghai Jiao Tong University   (China)

^d YORK UNIVERSITY   (Canada)

^e SHANDONG NORMAL UNIVERSITY   (China)

Author keywords

Basic reproduction number; Emerging infection management; Epidemic model; Media impact; Stability

Indexed keywords

EID: 84908618129     PISSN: 15313492     EISSN: None     Source Type: Journal    
DOI: 10.3934/dcdsb.2015.20.215     Document Type: Article

References (34)

1. J. Arino and C. C. McCluskey, Eéct of a sharp change of the incidence function on the dynamics of a simple disease, Journal of Biological Dynamics, 4 (2010), 490-505.
2. M. Arydah and R. Smith, Controlling malaria with indoor residual spraying in spatially heterogenous environments, Mathematical Biosciences and Engineering, 8 (2011), 889-914.
3. F. B. Agusto and A. B. Gumel, Theoretical assessment of avian inuenza vaccine, Discrete and Continuous Dynamical Systems -Series B, 13 (2010), 1-25.
4. S. Bansal, B. T. Grenfell and L. A. Meyers, When individual behaviour matters: Homogeneous and network models in epidemiology, Journal of the Royal Society Interface, 4 (2007), 879-891.
5. J. A. Cui, Y. H. Sun and H. P. Zhu, The impact of media on the control of infectious diseases, Journal of Dynamics and Difierential Equations, 20 (2007), 31-53.
6. J. A. Cui, X. Tao and H. P. Zhu, An sis infection mode incorporating media coverage, The Rocky Mountain Journal of Mathematics, 38 (2008), 1323-1334.
7. D. Drache and S. Feldman, Media Coverage of the 2003 Toronto SARS Outbreak, Robarts Centre Research Paper, York University, (2003), 1-18.
8. N. Ferguson, Capturing human behaviour, Nature, 446 (2007), 733-733.
9. S. Funk, E. Gilad and V. A. A. Jansen, Endemic disease, awareness, and local behavioural response, Journal of Theoretical Biology, 264 (2010), 501-509.
10. S. Funk, E. Gilad and V. A. A. Jansen, The spread of awareness and its impact on epidemic outbreaks, Proceedings of the National Academy of Sciences of the United States of America, 106 (2009), 6872-6877.
11. A. B. Gumel, C. C. McCluskey and J. Watmough, An sveir model for assessing potential impact of an imperfect anti-SARS vaccine, Mathematical Biosciences and Engineering, 3 (2006), 485-512.
12. D. Z. Gao and S. G. Ruan, An SIS patch model with variable transmission coeficients, Mathematical Biosciences, 232 (2011), 110-115.
13. J. Gu, Z. M. Gao and W. Li, Modeling of epidemic spreading with white Gaussian noise, Chinese Science Bull., 56 (2011), 3683-3688.
14. Z. M. Gao, J. Gu and W. Li, Epidemic spreading in a multi-compartment system, Chinese Physics Letter, 29 (2012), 028902.
15. J. H. Huang and X. F. Zou, Avian inuenza dynamics in wild birds with bird mobility and spatial heterogeneous environment, Discrete and Continuous Dynamical Systems -Series B, 17 (2012), 2829-2848.
16. Z. X. Hu, W. B. Ma and S. G. Ruan, Analysis of SIR epidemic models with nonlinear incidence rate and treatment, Mathematical Biosciences, 238 (2012), 12-20.
17. J. H. Jones and M. Salathe, Early assessment of anxiety and behavioral response to novel swine-origin inuenza A (H1N1), Plos One, 4 (2009), e8032.
18. W. Li, Z. M. Gao and J. Gu, Eécts of variant rates and noise on epidemic spreading, Chinese Physics Letter, 28 (2011), 058903.
19. Y. F. Li, C. Q. Ma and J. A. Cui, The eéct of constant and mixed impulsive vaccination on sis epidemic models incorporating media coverage, Rocky Mountain Journal of Mathematics, 38 (2008), 1437-1455.
20. R. S. Liu, J. P. Shuai, J. Wu and H. P. Zhu, Modeling spatial spread of west nile virus and impact of directional dispersal of birds, Mathematical Biosciences and Engineering, 3 (2006), 145-160.
21. R. S. Liu, J. H. Wu and H. P. Zhu, Media/Psychological impact on multiple outbreaks of emerging infectious diseases, Computational and Mathematical Methods in Medicine, 8 (2007), 153-164.
22. E. Liz and G. Rost, On the global attractor of delay Difierential equations with unimodal feedback, Discrete and Continuous Dynamical Systems, 24 (2009), 1215-1224.
23. A. K. Misra, A. Sharma and J. B. Shukla, Modeling and analysis of eécts of awareness pro-grams by media on the spread of infectious diseases, Mathematical and Computer Modelling, 53 (2011), 1221-1228.
24. G. A. Ngwa, Modelling the dynamics of endemic malaria in growing populations, Discrete and Continuous Dynamical Systems -Series B, 4 (2004), 1173-1202.
25. M. A. Saff and A. B. Gumel, Global asymptotic dynamics of a model for quarantine and isolation, Discrete and Continuous Dynamical Systems -Series B, 14 (2010), 209-231.
26. M. Salathle and S. Khandelwal, Assessing vaccination sentiments with online social media: Implications for infectious disease dynamics and control, PLoS Computational Biology, 7 (2011), 1-27.
27. S. Samanta, S. Rana, A. Sharma, A. K. Misra and J. Chattopadhyay, Eéct of awareness programs by media on the epidemic outbreaks: A mathematical model, Applied Mathematics and Computation, 219 (2013), 6965-6977.
28. C. J. Sun, W. Yang, J. Arino and K. Khan, Eéct of media-induced social distancing on disease transmission in a two patch setting, Mathematical Biosciences, 230 (2011), 87-95.
29. J. M. Tchuenche, N. Dube, C. P. Bhunu, R. J. Smith and C. T. Bauch, The impact of media coverage on the transmission dynamics of human inuenza, BMC Public Health, 11 (2011), S5.
30. P. Van den Driessche and J. Watmough, Reproductive numbers and subthreshold endemic equilibria for compartmental models of disease transmission, Mathematical Biosciences, 180 (2002), 29-48.
31. A. Wang and Y. N. Xiao, Filippov system describing media eécts on the spread of infectious diseases, Nonlinear Analysis: Hybrid Systems, 11 (2014), 84-97.
32. D. M. Xiao and S. G. Ruan, Global analysis of an epidemic model with nonmonotone incidence rate, Mathematical Biosciences, 208 (2007), 419-429.
33. M. E. Young, G. R. Norman and K. R. Humphreys, Medicine in the popular press: The inuence of the media on perceptions of disease, PLoS One, 3 (2008), e3552.
34. X. P. Yuan, Y. K. Xue and M. X. Liu, Analysis of an epidemic model with awareness programs by media on complex networks, Chaos, Solitons & Fractals, 48 (2013), 1-11.