Epidemic Threshold for Metapopulation Networks with Demographical Dynamics

Article Preview

Abstract:

In this paper, we investigate the dynamics of an epidemic model with birth anddeath and reaction-di usion processes in heterogeneous metapopulation networks. By mean- eld analysis, we obtain the conditions that the disease will outbreak on networks for somespeci c cases. This reminds us both the structure of the networks and population demographyplay an important role on the spread of infectious disease.

You might also be interested in these eBooks

Info:

Periodical:

Advanced Materials Research (Volumes 268-270)

Pages:

2097-2100

Citation:

Online since:

July 2011

Authors:

Export:

Price:

Permissions CCC:

Permissions PLS:

Сopyright:

© 2011 Trans Tech Publications Ltd. All Rights Reserved

Share:

Citation:

[1] R. Albert, A. L. Barabasi: Rev. Mod. Phys. Vol. 74 (2002), pp.50-97.

Google Scholar

[2] M. E. J. Newman: Phys. Rev. E Vol. 66 (2002), p.016128.

Google Scholar

[3] R. Olinky, L. Stone: Phys. Rev. E Vol. 70 (2004), p.030902.

Google Scholar

[4] J. M. Read, M. J. Keeling: Proc. R. Soc. B Vol. 270 (2003) , pp.699-708.

Google Scholar

[5] R. Pastor-Satorras, A. Vespignani: Phys. Rev. Lett. Vol. 86 (2001), pp.3200-3203.

DOI: 10.1103/physrevlett.86.3200

Google Scholar

[6] H. W. Hethcote: Math. Biosci. Vol. 28 (1976), pp.335-356.

Google Scholar

[7] D. Mollison: J. R. Statist. Soc. B Vol. 39 (1977), p.283.

Google Scholar

[8] L. Sattenspiel, D. Herring: Bull. Math. Biol. Vol. 65 (2003), pp.1-26.

Google Scholar

[9] V. Colizza, R. Pastor-Satorras: Nat. Phys. Vol. 3 (2007), pp.276-282.

Google Scholar

[10] A. Vespignani: Eur. Phys. J. B Vol. 64 (2008), pp.349-353.

Google Scholar

[11] V. Colizza, A. Vespignani: J. Theor. Biol. Vol. 251 (2008), pp.450-467.

Google Scholar