Variations of the epidemic distribution with some characteristic parameters

doi:10.1088/1674-1056/21/7/078901

Abstract Considering the epidemic spread among a population of mobile agents which can get infected and maintain the infection for a period, we investigate the variation of the homogeneity of the epidemic distribution with the remaining time of infection τ, the velocity modulus of the agent v, and the infection rate α. We find that the distribution of the infected cluster size is always exponential. By analyzing the variation of the characteristic infected cluster size coefficient, we show that, the inhomogeneity of the epidemic distribution increases with the increase of τ for very low v, while decreases with the increase of τ for moderate v. And the epidemic distribution tends to a homogeneous state as both v and α increase.

Keywords: random walk epidemic spread homogeneity cluster size

Received: 28 February 2012
Revised: 05 April 2012
Accepted manuscript online:

PACS:	89.75.-k	(Complex systems)
	87.23.Ge	(Dynamics of social systems)
	64.60.Ht	(Dynamic critical phenomena)

Fund: Project supported by the National Natural Science Foundation of China (Grant Nos. 61173183, 60973152, and 60573172), the Specialized Research Fund for the Doctoral Program of Higher Education of China (Grant No. 20070141014), and the Natural Science Foundation of Liaoning province, China (Grant No. 20082165).

Corresponding Authors: Wang Xing-Yuan
E-mail: wangxy@dlut.edu.cn

Cite this article:

Liu Zhen-Zhen(刘真真), Wang Xing-Yuan(王兴元), and Wang Mao-Ji(王茂基) Variations of the epidemic distribution with some characteristic parameters 2012 Chin. Phys. B 21 078901

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