摘要
基于流感传播的SEIAR动力学模型研究了流感爆发的最优控制策略．考虑的控制措施包括利用抗病毒药物进行预防和治疗．证明了最优解存在，利用Pontryagin极大值原理给出了动态的最优预防和治疗的设计方法，并利用四阶Runge-kutta迭代算法得到了数值解．
In this paper, the dynamic SEIAR epidemic model is used to evaluate optimal control strategies for influenza outbreaks. Control measures include antiviral prophylaxis and treatment. The existence of a solution to the optimal control problem is proved. In addition, the time-varying optimal strategies of antivirai prophylaxis and treatment are determined via Pontryagin＇s Maximum Principle. Furthermore, the numerical results are obtained bv using an iterative algorithm with Runge-Kutta fourth order scheme.
作者
张晴霞
ZHANG Qing-xia(School of Sciences,Southwest Petroleum University,Chengdu 610500,China;School of Mathematical Sciences,University of Electronic Science and Technology of China,Chengdu 611731,China)
出处
《数学的实践与认识》
北大核心
2018年第19期113-124,共12页
Mathematics in Practice and Theory
基金
四川省教育厅自然科学基金(17ZB0464)
