Skip to main content

A Preliminary Study on the Effects of Fear Factors in Disease Propagation

  • Conference paper
Complex Sciences (Complex 2009)

Abstract

Upon an outbreak of a dangerous infectious disease, people generally tend to reduce their contacts with others in fear of getting infected. Such typical actions apparently help to reduce the outbreak size. Thanks to today’s broad media coverage, the fear factor may also contribute to preventing an outbreak from happening at all. We are motivated to conduct a careful study on modeling and evaluating such effects with a complex network approach. As a first step of this study, we consider the relatively simple case where involved individuals randomly remove a certain fraction of links between them. Analytical and simulation results show that such an action cannot effectively prevent an epidemic outbreak from happening. However, it may significantly reduce the fraction of all the people ever getting infected when an outbreak does happen.

This is a preview of subscription content, log in via an institution to check access.

Access this chapter

Chapter
USD 29.95
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
USD 84.99
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD 109.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Purchases are for personal use only

Institutional subscriptions

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  1. World Heath Organization, http://www.who.int/csr/sars/en/

  2. Gupta, S., Anderson, R.M., May, R.M.: Networks of Sexual Contacts: Implications for the Pattern of Spread of HIV. AIDS 3, 807–817 (1989)

    Article  Google Scholar 

  3. Morris, M.: Sexual Networks and HIV. AIDS 97: Year in Review 11, 209–216 (1997)

    Google Scholar 

  4. Liljeros, F., Edling, C.R., Amaral, L.A.N., Stanley, H.E., Áberg, Y.: The Web of Human Sexual Contacts. Nature 411, 907–908 (2001)

    Article  Google Scholar 

  5. Newman, M.E.J.: Spread of Epidemic Disease on Networks. Phys. Rev. E 66, 016128 (2002)

    Article  MathSciNet  Google Scholar 

  6. Moreno, Y., Pastor-Satorras, R., Vespignani, A.: Epidemic Outbreaks in Complex Heterogeneous Networks. Eur. Phys. J. B 26, 521–529 (2002)

    Google Scholar 

  7. Boguñá, M., Pastor-Satorras, R.: Epidemic Spreading in Correlated Complex Networks. Phy. Rev. E 66, 047104 (2002)

    Article  Google Scholar 

  8. Barabási, A.-L., Albert, R.: Emergence of Scaling in Random Networks. Science 286, 509–512 (1999)

    Article  MathSciNet  MATH  Google Scholar 

  9. Bornholdt, S., Schuster, H.G. (eds.): Handbook of Graphs and Networks. Wiley-VCH, Berlin (2003)

    MATH  Google Scholar 

  10. Barabási, A.-L., Albert, R.: Statistical Mechanics of Complex Networks. Rev. Mod. Phys. 74, 47–98 (2002)

    Article  MathSciNet  MATH  Google Scholar 

  11. Pastor-Satorras, R., Vespignani, A.: Epidemic Spreading in Scale-free Networks. Phys. Rev. Lett. 86, 3200 (2001)

    Article  Google Scholar 

  12. Pastor-Satorras, R., Vespignani, A.: Epidemic Dynamics in Finite Size Scale-free Networks. Phys. Rev. E 65, 035108 (2002)

    Article  Google Scholar 

  13. Anderson, R.M., May, R.M.: Infectious Diseases of Humans. Oxford University Press, Oxford (1991)

    Google Scholar 

  14. Hethcote, H.W.: The Mathematics of Infectious Diseases. SIAM Review 42, 599–653 (2000)

    Article  MathSciNet  MATH  Google Scholar 

  15. Herbert, S.W.: Generatingfunctionology. Academic Press, Harcourt Brace Jovanovich (1991)

    MATH  Google Scholar 

  16. Martin, S., Carr, R.D., Faulon, J.-L.: Random Removal of Edges from Scale-free Graphs. Physica A 371(2), 870–876 (2006)

    Article  Google Scholar 

  17. Stumpf, M.P.H., Wiuf, C., May, R.M.: Subnets of Scale-free Networks Are Not Scale-free: Sampling Properties of Networks. PNAS 102(12) (2005)

    Google Scholar 

  18. Newman, M.E.J., Strogatz, S.H., Watts, D.J.: Random Graphs with Arbitrary Degree Distributions and Their Applications. Physical Review E 64 (2001)

    Google Scholar 

  19. Warren, C.P., Sander, L.M., Sokolov, I.M.: Firewalls, Disorder, and Percolation in Epidemics. cond-mat/0106450 v1 (2001)

    Google Scholar 

  20. Sander, L.M., Warren, C.P., Sokolov, I., Simon, C., Koopman, J.: Percolation on Disordered Networks as a Model for Epidemics. Math. Biosci. 180, 293–305 (2002)

    Article  MathSciNet  MATH  Google Scholar 

  21. Moore, C., Newman, M.E.J.: Exact Solution of Site and Bond Percolation on Small-World Networks. Phy. Rev. E 62, 7059–7064 (2000)

    Article  Google Scholar 

  22. Dorogovtsev, S.N., Mendes, J.F.F.: Evolution of Networks. Adv. Phys. 51, 1079 (2002)

    Article  Google Scholar 

  23. Newman, M.E.J.: Assortative Mixing in Networks. Phys. Rev. Lett. 89, 208701 (2002)

    Article  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Editor information

Editors and Affiliations

Rights and permissions

Reprints and permissions

Copyright information

© 2009 ICST Institute for Computer Science, Social Informatics and Telecommunications Engineering

About this paper

Cite this paper

Wang, Y., Hu, J., Xiao, G., Wong, L., Ma, S., Cheng, T.H. (2009). A Preliminary Study on the Effects of Fear Factors in Disease Propagation. In: Zhou, J. (eds) Complex Sciences. Complex 2009. Lecture Notes of the Institute for Computer Sciences, Social Informatics and Telecommunications Engineering, vol 5. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-02469-6_19

Download citation

  • DOI: https://doi.org/10.1007/978-3-642-02469-6_19

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-642-02468-9

  • Online ISBN: 978-3-642-02469-6

  • eBook Packages: Computer ScienceComputer Science (R0)

Publish with us

Policies and ethics