CROSS-DISCIPLINARY PHYSICS AND RELATED AREAS OF SCIENCE AND TECHNOLOGY |
|
|
|
|
Epidemic Spreading in a Multi-compartment System |
GAO Zong-Mao1, GU Jiao2**, LI Wei2,3 |
1College of Physical Science and Technology, Huazhong Normal University, Wuhan 430079
2Max-Planck-Institute for Mathematics in the Sciences Leipzig, 04103, Germany
3Complexity Science Center & Institute of Particle Physics, Huazhong Normal University, Wuhan 430079
|
|
Cite this article: |
LI Wei, GU Jiao, GAO Zong-Mao 2012 Chin. Phys. Lett. 29 028902 |
|
|
Abstract We introduce the variant rate and white noise into the susceptible-infected-removed (SIR) model for epidemics, discuss the epidemic dynamics of a multiple-compartment system, and describe this system by using master equations. For both the local epidemic spreading system and the whole multiple-compartment system, we find that a threshold could be useful in forecasting when the epidemic vanishes. Furthermore, numerical simulations show that a model with the variant infection rate and white noise can improve fitting with real SARS data.
|
Keywords:
89.75.-k
89.65.-s
87.10.Mn
|
|
Received: 21 August 2011
Published: 11 March 2012
|
|
|
|
|
|
[1] Vittoria C and Alessandro V 2008 J. Theor. Biol. 251 450
[2] Hufnagel L, Brockmann D and Geisel T 2004 Proc. the National Academy of Sciences 101 15124
[3] Li W, Gao Z M and Gu J 2011 Chin. Phys. Lett. 28 058903
[4] Newman M E J 2002 Phys. Rev. E 66 016128
[5] Yang R, Wang B H Ren J, Bai W J, Shi Z W, Wang W X and Zhou T 2007 Phys. Lett. A 364 189
[6] Zhou T, Fu Z Q and Wang B H 2006 Prog. Natural Sci. 16 452
[7] Hethcote H W and Driessche P 1995 J. Math. Biol. 34 177
[8] Hong L, Ouyang M, Mao Z J and C X G 2009 Sixth International Symposium on Networks (Wuhan, China 26–29 May 2009) p 937
[9] Gu J, Li W and Cai X 2008 Eur. Phys. J. B 62 247
[10] Li W, Gu J and Cai X 2008 Chin. Phys. Lett. 25 2303
[11] Romualdo P S and Alessandro V 2001 Phys. Rev. Lett. 86 3200
[12] Fu X C, Small M, Walker D M and Zhang H F 2008 Phys. Rev. E 77 036113
[13] Moreno Y Pastor Satorras R and Vespignani A 2002 Eur. Phys. J. B 26 521
[14] Pang G P and Chen L S 2007 Chao Solitons and Fractals 34 1629
[15] Xia C Y, Liu Z X, Chen Z Q, Sun S W and Yuan Z Z 2008 Prog. Natural Sci. 18 763
[16] Liu Z H and Hu B B 2005 Eur. Phys. Lett. 72 315
[17] Kuznetsov YA and Piccardi C 1994 J. Math. Biol. 32 109
|
|
Viewed |
|
|
|
Full text
|
|
|
|
|
Abstract
|
|
|
|
|