基于社会分工的流行病动力学建模与仿真研究
首发时间:2020-03-24
摘要:流行病危害人类健康,甚至带来灾难性后果,如何有效应对疫情是全社会不可回避的现实问题。疫情预测是流行病防控体系中的重要一环,准确建立流行病演化动力学模型具有十分重要的意义。本文针对现有流行病建模方法中鲜有考虑群体中的社会分工问题,拟将整个群体划分为普通居民、社会服务人员和一线医务工作人员等三个子群,基于异质均匀混合理论,利用子群邻接矩阵表示个体间的接触关系,建立了流行病传播与演化的延时动力学模型。仿真结果显示,在相同参数及初始条件下,系统达到稳定平衡时,传统方法社会服务人员子群的患病率及病死率最高,医务人员子群次之,普通居民子群最低,而本文方法的仿真结果为医务人员子群的患病率及病死率最高,社会服务人员子群次之,普通居民子群最低。实践证明,在相同防护条件下与发病患者频繁接触的医务人员的危险程度最高,说明了本文方法更符合实际情况,可为流行病动力学建模与仿真提供一种有效手段。
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epidemic disease modeling social division of labor adjacency matrix
Abstract:The epidemic disease is harmful to human health and even brings disastrous consequences. How to deal with epidemic disease effectively is an unavoidable practical problem for the whole society. Epidemic prediction is an essential part of the epidemic prevention and control system, and it is of great significance to accurately establish a dynamic model of epidemiological evolution. The existing epidemiological modeling methods rarely consider the social division of labor among groups. This article intends to divide the entire group into three subgroups, such as ordinary residents, social service personnel, and front-line medical workers. Based on the heterogeneous uniform mixing theory, the subgroup adjacency matrixAn approach for modeling dynamics of epidemic disease spread based on the social division of labor is used to represent the contact relationship between individuals, and a time-lapse dynamic model of epidemic spread and evolution is established. The simulation results show that when the system reaches a stable equilibrium, the traditional method has the highest morbidity and mortality rate of the subgroup of social service personnel, followed by the subgroup of front-line medical workers and the lowest subgroup of ordinary residents. Under the same parameters and initial conditions, the simulation results of the method in this paper show that the front-line medical workers subgroup has the highest morbidity and mortality, followed by the social service personnel subgroup, and the ordinary residents subgroup has the lowest. The practice has proved that under the same protective conditions, the front-line medical workers who frequently come into contact with patients with the disease have the highest degree of danger, which shows that the method in this paper is more in line with the actual situation and can provide an effective method for epidemiological dynamics modeling and simulation. Keywords:
Keywords: epidemic disease modeling social division of labor adjacency matrix
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