COVID-19控制模型的最优隔离策略
Optimal quarantine strategies for COVID-19 control models
摘要：
针对两个描述COVID-19病毒在人群中传播的控制SEIR~型模型，考虑了反映有效隔离策略发现的最优控制问题.应用庞特里亚金最大值原理，建立了相应的最优控制的性质分析。利用BOCOP 2.0.5软件进行数值求解，得到了最优解。详细讨论了适当的最优解的行为及其对基本繁殖比和隔离期长度的依赖性。得出了必要的结论。
英文摘要：
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.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
