Variations of the epidemic distribution with some characteristic parameters

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

中国物理B ›› 2012, Vol. 21 ›› Issue (7): 78901-078901.doi: 10.1088/1674-1056/21/7/078901

• INTERDISCIPLINARY PHYSICS AND RELATED AREAS OF SCIENCE AND TECHNOLOGY • 上一篇下一篇

Variations of the epidemic distribution with some characteristic parameters

刘真真^a, 王兴元^a, 王茂基^{a b}

a School of Electronic and Information Engineering, Dalian University of Technology, Dalian 116024, China;
b School of Electronic and Information, Ningbo Dahongying University, Ningbo 315175, China

收稿日期:2012-02-28 修回日期:2012-04-05 出版日期:2012-06-01 发布日期:2012-06-01
基金资助:
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).

Variations of the epidemic distribution with some characteristic parameters

Liu Zhen-Zhen(刘真真)^a), Wang Xing-Yuan(王兴元)^a)^†, and Wang Mao-Ji(王茂基)^a)b)

a School of Electronic and Information Engineering, Dalian University of Technology, Dalian 116024, China;
b School of Electronic and Information, Ningbo Dahongying University, Ningbo 315175, China

Received:2012-02-28 Revised:2012-04-05 Online:2012-06-01 Published:2012-06-01
Contact: Wang Xing-Yuan E-mail:wangxy@dlut.edu.cn
Supported by:
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).

摘要/Abstract

摘要： 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.

关键词: random walk, epidemic spread, homogeneity, cluster size

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.

Key words: random walk, epidemic spread, homogeneity, cluster size

中图分类号: (Complex systems)

89.75.-k

87.23.Ge (Dynamics of social systems) 64.60.Ht (Dynamic critical phenomena)

刘真真, 王兴元, 王茂基 . Variations of the epidemic distribution with some characteristic parameters[J]. 中国物理B, 2012, 21(7): 78901-078901.

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[J]. Chin. Phys. B, 2012, 21(7): 78901-078901.

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Variations of the epidemic distribution with some characteristic parameters

Variations of the epidemic distribution with some characteristic parameters

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