两个SIR中心流行性腮腺炎暴发期间疫苗的最佳分配。

IF 0.8 4区 数学 Q4 BIOLOGY Mathematical Medicine and Biology-A Journal of the Ima Pub Date : 2020-09-10 DOI:10.1093/imammb/dqz012
Alexey A Chernov, Mark Y Kelbert, Aleksandr A Shemendyuk
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引用次数: 7

摘要

这项工作的目的是调查在腮腺炎暴发期间存在易感者和感染者迁移通量的两个易感、感染、移除(SIR)中心之间的最佳疫苗共享。疫苗分配的最优性是指在整个疫情爆发期间损失的工作日总数$[0,t_f]$最小,可以用函数$Q=\int _0^{t_f}I(t)\,{\textrm{d}}t$来描述,其中$I(t)$表示时刻$t$的感染人数。我们解释了最优分配的行为,这取决于模型参数和可用疫苗的数量。
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Optimal vaccine allocation during the mumps outbreak in two SIR centres.

The aim of this work is to investigate the optimal vaccine sharing between two susceptible, infected, removed (SIR) centres in the presence of migration fluxes of susceptibles and infected individuals during the mumps outbreak. Optimality of the vaccine allocation means the minimization of the total number of lost working days during the whole period of epidemic outbreak $[0,t_f]$, which can be described by the functional $Q=\int _0^{t_f}I(t)\,{\textrm{d}}t$, where $I(t)$ stands for the number of infectives at time $t$. We explain the behaviour of the optimal allocation, which depends on the model parameters and the amount of vaccine available $V$.

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来源期刊
CiteScore
2.20
自引率
0.00%
发文量
15
审稿时长
>12 weeks
期刊介绍: Formerly the IMA Journal of Mathematics Applied in Medicine and Biology. Mathematical Medicine and Biology publishes original articles with a significant mathematical content addressing topics in medicine and biology. Papers exploiting modern developments in applied mathematics are particularly welcome. The biomedical relevance of mathematical models should be demonstrated clearly and validation by comparison against experiment is strongly encouraged. The journal welcomes contributions relevant to any area of the life sciences including: -biomechanics- biophysics- cell biology- developmental biology- ecology and the environment- epidemiology- immunology- infectious diseases- neuroscience- pharmacology- physiology- population biology
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