带长程感染和潜伏期的流行病传播
统计力学
2007-05-23 v1
摘要
通过场论和数值方法，调查了具有长程感染和潜伏期的流行病传播模型中的非平衡相变。此处，传播过程由时空 Levy 飞行建模，即假设传播距离和潜伏时间都呈代数衰减。 Depending on the infection rate one observes a phase transition from a fluctuating active phase into an absorbing phase, where the infection becomes extinct. This transition between spreading and extinction is characterized by continuously varying critical exponents, extending from a mean-field regime to a phase described by the universality class of directed percolation. We compute the critical exponents in the vicinity of the upper critical dimension by a field-theoretic renormalization group calculation and verify the results in one spatial dimension by extensive numerical simulations.
关键词
引用
@article{arxiv.cond-mat/0506541,
title = {Epidemic spreading with long-range infections and incubation times},
author = {Julian Adamek and Michael Keller and Arne Senftleben and Haye Hinrichsen},
journal= {arXiv preprint arXiv:cond-mat/0506541},
year = {2007}
}
备注
20 pages, 7 figures