Spreading of Epidemics on Scale-Free Networks with Time Delay

Yuan Mei Wang; Tao Li

doi:10.4028/www.scientific.net/AMR.562-564.1386

Paper Titles

The Numerical Simulation of Full Flow Field of Roto-Jet Pump and Analysis of Energy Losses
p.1369

Numerical Simulation on Spiral Hot Bending Process for End Sheet of Tubular Pile
p.1373

Face Detection Method Using PCNN and Skin Color Model
p.1377

The Construction of Cerebrovascular Model and Numerical Simulation
p.1382

Spreading of Epidemics on Scale-Free Networks with Time Delay
p.1386

Numerical Simulation of Aerodynamic Behaviors of High-Speed Trains Crossing
p.1390

Exterior Ballistic Data Processing by SVD and Wavelet Transform
p.1394

Theoretical Analysis and Simulation on Seeds Throw Process of Seedling-Sowing Machine
p.1398

A Performance Model for U-Tube Ground-Coupled Heat Exchanger
p.1404

HomeAdvanced Materials ResearchAdvanced Materials Research Vols. 562-564Spreading of Epidemics on Scale-Free Networks with...

Spreading of Epidemics on Scale-Free Networks with Time Delay

Abstract:

In the SIR model once a node is cured after infection it becomes permanently immune,but we assume this immunity to be temporary. So we obtain an epidemic model with time delay on scale-free networks. Using the mean field theory the spreading threshold and the spreading dynamics is analyzed. Theoretical results indicate that the threshold is significantly dependent on the topology of scale-free networks and time delay. Numerical simulations confirmed the theoretical results.

You might also be interested in these eBooks

Materials Engineering and Automatic Control

View Preview

Info:

Periodical:

Advanced Materials Research (Volumes 562-564)

Pages:

1386-1389

DOI:

https://doi.org/10.4028/www.scientific.net/AMR.562-564.1386

Citation:

Cite this paper

Online since:

August 2012

Authors:

Yuan Mei Wang, Tao Li

Keywords:

Epidemic Model, Mean-Field Theory, Scale-Free Network, Threshold, Time Delay

Export:

RIS, BibTeX

Price:

Permissions CCC:

Request Permissions

Permissions PLS:

Request Permissions

Сopyright:

Citation:

References

[1] R. Webby, R. Webster. Science Vol. 302 (2003), pp.1519-1522.

Google Scholar

[2] V. Colizza, A. Barrat, M. Barth´elemy, A. Vespignani. Proceedings of the National Academy of Sciences of the United States of America 103 (2006), p. (2015).

Google Scholar

[3] C. Dye, N. Gay. Science Vol. 300 (2003), pp.1884-1885.

Google Scholar

[4] Y. Rho, L. Liebovitch, I. Schwartz. Physics Letters A Vol. 372 (2008), p.5017–5025.

Google Scholar

[5] S. Boccaletti, V. Latora, Y. Moreno, M. Chavez. Physics reports Vol. 424 (2006), p.175–308.

DOI: 10.1016/j.physrep.2005.10.009

Google Scholar

[6] R. Pastor-Satorras, A. Vespignani. Physical review letters Vol. 86 (2001), p.3200–3203.

Google Scholar

[7] R. Pastor-Satorras, A. Physical Review E Vol. 65 (2002), p.035108.

Google Scholar

[8] M. Bogun´a, R. Pastor-Satorras. Physical Review letters Vol. 90 (2003), p.28701.

Google Scholar

[9] M. Loecher, J. Kadtke. Physics Letters A Vol. 366 (2007), p.535–539.

Google Scholar

[10] A. Grabowski, M. Rosinska. Acta Physica Polonica B Vol. 37 (2006), p.1521.

Google Scholar

[11] A. L. Barabasi, R. Albert. Science Vol. 286 (1999), pp.509-512.

Google Scholar

[12] C. Xia, Z. Liu, Z. Chen, Z. Yuan. Control and Decision, 23 (2008), pp.468-471.

Google Scholar