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首页> 外文期刊>Computer Methods and Programs in Biomedicine: An International Journal Devoted to the Development, Implementation and Exchange of Computing Methodology and Software Systems in Biomedical Research and Medical Practice >Optimal control for SIRC epidemic outbreak
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Optimal control for SIRC epidemic outbreak

机译：SIRC流行病暴发的最佳控制

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摘要

In this paper the mathematical SIRC epidemic model is considered. It efficiently describes diseases in which a cross immune class (C) is present, along with the susceptible (S), the infected (I) and the removed (R) ones. Controlling epidemic diseases corresponds to the introduction of vaccination, quarantine and treatment strategies; generally only one of these actions is considered. In this paper the possibility of optimal controls both over the susceptible and the infected subjects is assumed, taking into account also limitations of resources. A suitable cost index is introduced and via the Pontryagin's Minimum Principle the optimal control strategy is determined and the existence of the optimal solution is assessed. Numerical results are developed analyzing the effects of different control strategies.
机译：本文考虑了数学上的SIRC流行模型。它有效地描述了存在交叉免疫类别（C）的疾病，以及易感（S），被感染（I）和已去除（R）的疾病。控制流行病对应于疫苗接种，检疫和治疗策略的引入;通常，仅考虑这些动作之一。在本文中，考虑到资源的局限性，假定了对易感者和感染者均进行最佳控制的可能性。引入了合适的成本指标，并通过蓬特里亚金的最小原理确定了最优控制策略，并评估了最优解的存在。通过分析不同控制策略的效果得出了数值结果。

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