摘要
针对一类传染性疾病动力学数学模型的参数反演问题,提出了最佳摄动量算法.此算法是利用算子识别摄动法和线性化技术,建立的数值迭代方法.在MATLAB平台下对具体算例进行了程序实现和数值计算,验证了最佳摄动量法解决此类问题的可行性和有效性,反演得到的参数结果有助于我们分析和研究传染性疾病动力学模型,从而进一步预测和评估疫情.
In this paper,the optimal perturbation algorithm was proposed for the inversion problem of the infectious diseases dynamic mathematical model parameters.This algorithm is a numerical iterative method that based on operator recognition perturbation method and linearization technique.Through the MATLAB,the program implementation and numerical experiments were presented to show the feasibility and efficiency of the optimal perturbation method.The parameter results obtained by the inversion can help us to analyze and study the infectious diseases dynamics model,so as to further predict and evaluate the epidemic situation.
作者
闵涛
申旭
杨胜
MIN Tao;SHEN Xu;YANG Sheng(School of Science,Xi'an University of Technology,Xi'an 710054,China)
出处
《应用泛函分析学报》
2020年第3期124-132,共9页
Acta Analysis Functionalis Applicata
基金
国家自然科学基金(51679186)
陕西省科技计划项目自然科学基础研究计划(2019JM-284)。
关键词
参数反演
常微分方程
SEIR模型
修正的SEIR模型
最佳摄动量法
parameter identification
ordinary differential equation
SEIR model
modified SEIR model
optimal perturbation method
