A SEIR MODEL FOR CONTROL OF INFECTIOUS DISEASES WITH CONSTRAINTS
A SEIR MODEL FOR CONTROL OF INFECTIOUS DISEASES WITH CONSTRAINTS
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DOI：
10.3934/mbe.2014.11.761
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发表时间：
2014-08-01
影响因子：
2.6
通讯作者：
de Pinho, MdR
中科院分区：
文献类型：
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作者：
Biswas, M. H. A.;Paiva, L. T.;de Pinho, MdR
最优控制可以帮助测试和比较针对某种疾病的不同疫苗接种策略。在本文中，我们提出了引进的约束条件，涉及状态变量的最优控制问题，适用于一个分区SEIR（敏感。暴露、感染和暴露）模型。我们研究了当混合状态控制约束用于在每个时刻对可用疫苗施加上界时此类问题的解决方案。我们还探讨了对易感个体的数量施加上限的可能性，无论是否限制可用疫苗的数量。在单纯的混合约束的情况下，进行了数值和分析研究，而在其他两种情况下，只有数值结果。
Optimal control can be of help to test and compare different vaccination strategies of a certain disease. In this paper we propose the introduction of constraints involving state variables on an optimal control problem applied to a compartmental SEIR (Susceptible. Exposed, Infectious and Recovered) model. We study the solution of such problems when mixed state control constraints are used to impose upper bounds on the available vaccines at each instant of time. We also explore the possibility of imposing upper bounds on the number of susceptible individuals with and without limitations on the number of vaccines available. In the case of mere mixed constraints a numerical and analytical study is conducted while in the other two situations only numerical results are presented.