Variations of the epidemic distribution with some characteristic parameters |
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Authors: | Liu Zhen-Zhen Wang Xing-Yuan Wang Mao-Ji |
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Institution: | 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 |
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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. |
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Keywords: | random walk epidemic spread homogeneity cluster size |
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