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首页> 外文期刊>Mathematics and computers in simulation >On an SEIADR epidemic model with vaccination, treatment and dead-infectious corpses removal controls
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On an SEIADR epidemic model with vaccination, treatment and dead-infectious corpses removal controls

机译：在带有疫苗接种，治疗和死亡传染性尸体去除控制的SEIADR流行模型上

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This paper studies the non-negativity and stability properties of the solutions of a newly proposed SEIADR model with six subpopulations, namely, susceptible-exposed-symptomatic infectious-asymptomatic infectious-dead infectious corpses-recovered model, of potential interest in the characterization and control of the Ebola pandemic. Such an epidemic model incorporates asymptomatic and dead-infectious subpopulations to those of the typical SEIR models and, in parallel, three types of controls including feedback information and impulsive actions. In particular, the model incorporates feedback vaccination controls on the susceptible subpopulation and antiviral treatment controls on the symptomatic infectious subpopulations as well as infectious corpses removal. Those controls may incorporate constant, linear and impulsive terms and an additional quadratic feedback term in the treatment control law. The infectious corpses removal control is impulsive by nature. The practical implementation of that control consists in organization or brigades for lying bodies removal being active along short and intermittent periods of time. The positivity and the existenceon-existence of the endemic equilibrium point are investigated as well as the local stability properties around the equilibrium points and periodic steady-state solutions. The global stability is investigated via a Lyapunov function for the incremental systems about the equilibrium solution which is supported by an "ad hoc" designed time-varying Lyapunov equation. (C) 2019 International Association for Mathematics and Computers in Simulation (IMACS). Published by Elsevier B.V. All rights reserved.
机译：本文研究了一个新提议的SEIADR模型的解决方案的非负性和稳定性，该模型具有六个子种群，即易感性-有症状-传染性-无症状-传染性-死性-传染性尸体恢复模型，在表征和控制方面具有潜在的意义埃博拉大流行。这种流行病模型将无症状和死亡传染性亚群与典型SEIR模型的无性亚群结合在一起，并同时包括反馈信息和冲动行为三类控件。特别是，该模型结合了对易感亚群的反馈疫苗接种控制和对有症状的感染性亚群以及感染性尸体去除的抗病毒治疗控制。这些控制可以在治疗控制定律中结合常数，线性和脉冲项以及附加的二次反馈项。传染性尸体清除控制本质上是一时冲动的。该控制措施的实际实施在于在短短的时间间隔内活跃的组织或旅的活动。研究了地方平衡点的正性和存在/不存在，以及平衡点周围的局部稳定性和周期稳态解。经由Lyapunov函数研究关于平衡解的增量系统的全局稳定性，该平衡解由“ ad hoc”设计的时变Lyapunov方程支持。 （C）2019国际模拟数学与计算机协会（IMACS）。由Elsevier B.V.发布。保留所有权利。

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