本文主要讨论了 SEIAQR 模型以及该模型的基本再生数计算，通过应用 下一代矩阵的算法，计算出该模型的基本再生数

在 SEIAQR 模型的基础上，根据疫情实际情况，使用“隔离 + 患者治疗”的 措施，在系统中增设 两个控制函数，给出最优控制的目标函数 

并验证了最优控制的存在性，通过庞特里亚金极大值原理来解决提出的最优 控制问题，在计算过程中，构建哈密顿函数  和协态变量 ，计算得 出。通过 Matlab 模拟出 SEIAQR 模型的过程图，并和实际数据图对比， 实现了最优控制问题迭代算法，通过 Matlab 程序运行最优过程求解。

This paper mainly discusses the SEIAQR model and the calculation of the basic reproduction number of the model. By using the algorithm of the next generation matrix, the basic reproduction number is as follows

On the basis of seiaqr model, according to the actual situation of the epidemic, the measures of "isolation + patient treatment" were used. Two control functions u₁ (t) and u₂(t)are added to the system, and the objective function of optimal control is given 

The existence of optimal control is verified, and the optimal control problem is solved by Pontryagin maximum principle. In the calculation process, Hamiltonian function  and covariate variable  ，are constructed, andis calculated. The process chart of seiaqr model is simulated by MATLAB and compared with the actual data chart. The iterative algorithm of optimal control problem is realized, and the optimal process is solved by MATLAB program.