论文标题
199控制模型的最佳隔离策略
Optimal quarantine strategies for COVID-19 control models
论文作者
论文摘要
对于两个控制SEIR〜类型模型，考虑了反映有效隔离策略发现的最佳控制问题，这些模型描述了Covid-19病毒在人群中的传播。通过应用Pontryagin最大原理来分析相应的最佳控件的特性。最佳解决方案是使用BOCOP 2.0.5软件数值获得的。详细讨论了适当的最佳解决方案的行为及其对基本生殖比率和隔离长度的依赖。得出必要的结论。
Optimal control problems reflecting the finding of effective quarantine strategies are considered for two control SEIR~type models describing the spread of the COVID-19 virus in the human population. The properties of the corresponding optimal controls are established analytically by applying the Pontryagin maximum principle. The optimal solutions are obtained numerically using BOCOP 2.0.5 software. The behavior of the appropriate optimal solutions and their dependence on the basic reproductive ratio and length of quarantine are discussed in detail. Necessary conclusions are made.
