当前位置: X-MOL 学术Braz. J. Phys. › 论文详情
Our official English website, www.x-mol.net, welcomes your feedback! (Note: you will need to create a separate account there.)
Stochastic Approach to Epidemic Spreading
Brazilian Journal of Physics ( IF 1.6 ) Pub Date : 2020-10-10 , DOI: 10.1007/s13538-020-00800-8
Tânia Tomé , Mário J. de Oliveira

We analyze four models of epidemic spreading using a stochastic approach in which the primary stochastic variables are the numbers of individuals in each class. The stochastic approach is described by a master equation and the transition rate for each process such as infection or recovery are set up by using the law of mass action. We perform numerical simulations as well as numerical integration of the evolution equations for the average number of each class of individuals. The onset of the epidemic spreading is obtained by a linear analysis of the disease free state, from which follows the initial exponential increase of the infected and the frequency of new cases. The order parameter and the variance in the number of individuals are also obtained characterizing the onset of epidemic spreading as a critical phase transition.

中文翻译:

流行病传播的随机方法

我们使用随机方法分析了四种流行病传播模型,其中主要的随机变量是每个类别中的个体数量。随机方法由主方程描述,每个过程(如感染或恢复)的转换率是通过使用质量作用定律设置的。我们对每类个体的平均数量进行数值模拟以及进化方程的数值积分。流行病蔓延的开始是通过对无病状态的线性分析获得的,从无病状态开始遵循感染者的初始指数增长和新病例的频率。还获得了顺序参数和个体数量的方差,将流行病传播的开始表征为一个关键的相变。
更新日期:2020-10-10
down
wechat
bug