An eradication time problem for the SIR model
An eradication time problem for the SIR model
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DOI：
10.1016/j.jde.2021.09.001
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发表时间：
2020-08
影响因子：
2.4
通讯作者：
Ryan Hynd;Dennis Ikpe;Terrance Pendleton
中科院分区：
文献类型：
--
作者：
Ryan Hynd;Dennis Ikpe;Terrance Pendleton
我们考虑一个易感、感染和康复的传染病模型，其中包含疫苗接种率。特别是，我们研究了选择疫苗接种率的问题，以便尽快将感染人数减少到给定阈值。这自然是一个时间最优控制问题。我们将最佳时间解释为两个动态规划方程的解，并给出疫苗接种率达到最佳的充分必要条件。
We consider a susceptible, infected, and recovered infectious disease model which incorporates a vaccination rate. In particular, we study the problem of choosing the vaccination rate in order to reduce the number of infected individuals to a given threshold as quickly as possible. This is naturally a problem of time-optimal control. We interpret the optimal time as a solution of two dynamic programming equations and give necessary and sufficient conditions for a vaccination rate to be optimal.