摘要
Considering the spread of an epidemic among a population of mobile agents that can get infected and maintain the infection for a period, we investigate the variation in the homogeneity of the distribution of the epidemic with the remaining time of infection % the velocity modulus of the agent v, and the infection rate a. 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 epidemic distribution increases with an increase in τ for very low v, while it decreases with an increase in τ- for moderate v. The epidemic distribution also tends to a homogeneous state as both v and a increase.
Considering the spread of an epidemic among a population of mobile agents that can get infected and maintain the infection for a period, we investigate the variation in the homogeneity of the distribution of the epidemic with the remaining time of infection % the velocity modulus of the agent v, and the infection rate a. 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 epidemic distribution increases with an increase in τ for very low v, while it decreases with an increase in τ- for moderate v. The epidemic distribution also tends to a homogeneous state as both v and a increase.
基金
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)
the Natural Science Foundation of Liaoning Province, China (Grant No. 20082165)
