| Original Articles |
|
|
|
|
Spatiotemporal Characteristic of Epidemic Spreading in Mobile Individuals |
| HE Min-Hua1;ZHANG Duan-Ming1;PAN Gui-Jun1,2;YIN Yan-Ping1;TAN Xin-Yu1 |
| 1Department of Physics, Huazhong University of Science and Technology, Wuhan 4300742Faculty of Physics and Electronic Technology, Hubei University, Wuhan 430062 |
|
| Cite this article: |
|
HE Min-Hua, ZHANG Duan-Ming, PAN Gui-Jun et al 2008 Chin. Phys. Lett. 25 393-396 |
|
|
|
Abstract We numerical simulate the propagation behaviour and people distribution trait of epidemic spreading in mobile individuals by using cellular automaton
method. The simulation results show that there exists a critical value of infected rate fluctuating amplitude, above which the epidemic can spread in whole population. Moreover, with the value of infected rate fluctuating amplitude increasing, the spatial distribution of infected population exhibits the spontaneous formation of irregular spiral waves and convergence phenomena, at the same time, the density of different populations will oscillate automatically with time. What is more, the traits of dynamic grow
clearly and stably when the time and the value of infected rate fluctuating amplitude increasing. It is also found that the maximal proportion of infected individuals is independent of the value of fluctuating amplitude rate, but increases linearly with the population density.
|
| Keywords:
05.10.-a
87.23.Ge
87.19.Xx
89.75.Hc
|
|
|
Received: 12 June 2007
Published: 30 January 2008
|
|
| PACS: |
05.10.-a
|
(Computational methods in statistical physics and nonlinear dynamics)
|
| |
87.23.Ge
|
(Dynamics of social systems)
|
| |
87.19.Xx
|
|
| |
89.75.Hc
|
(Networks and genealogical trees)
|
|
|
|
|
|
[1] Moreno Y, et al 2003 Phys. Rev. E 68 035103
[2] Bogu{\'o M et al 2002 Phys. Rev. E 66 047104
[3] Manrubia S C et al 2001 Eur. Phys. Lett. 53 693
[4] Pastor-Satorras R et al 2001 Phys. Rev. Lett.86 3200
[5] D. H. Zanette 2001 Phys. Rev. E 64 050901
[6] Kuperman M et al 2001 Phys. Rev. Lett. 862909
[7] Park K et al 2006 Chaos. 16 015105
[8]Yan G et al 2007 Phys. Rev. E 75 016108
[9]Boccara N et al 1994 J. Phys. A 27 1585
[10] Octavio M and Bartolo L 2002 J. Phys. D 168-169 379
[11] Wolfram S 1984 Nature 311 419
[12] Chopard B et al 2002 Adv. Complex Syst. 5 103
[13] Ballegooijen W M et al 2004 Proc. Natl. Acad. Sci.USA 101 18246
[14]Liu Q X, Jin Z, and Liu M X 2006 Phys. Rev. E74 031110
[15] Sherratt J A et al 1997 Philos. Trans. R. Soc.London. B 352 21
[16]Weimar J R and Boon J P 1994 Phys. Rev. E 491749
[17]Jin Z, Liu Q X and Mainul H 2007 Chin. Phys. 16 1267 |
|
Viewed |
|
|
|
Full text
|
|
|
|
|
Abstract
|
|
|
|
|
