Modeling the dynamics of Hepatitis E with optimal control
Modeling the dynamics of Hepatitis E with optimal control
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DOI：
10.1016/j.chaos.2018.09.033
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发表时间：
2018-11-01
影响因子：
7.8
通讯作者：
Khan, M. A.
中科院分区：
文献类型：
--
作者：
Alzahrani, E. O.;Khan, M. A.
本文研究戊型肝炎的最优控制动力学。本文从两个不同的方面进行了分析：首先，我们探讨了戊型肝炎模型的动力学，然后应用最优控制分析。其次，我们使用最合适和最新的分数阶导数Atangana-Baleanu导数进行戊型肝炎模型的动力学分析。当阈值小于1时，所考虑的模型是局部渐近稳定的。进一步探讨了模型在R-0 > 1时的稳定性分析。然后，我们选择适当的控制来构建最优系统。得到了与最优控制相关的结果，并对不同策略进行了讨论。此外，我们对所提出的模型应用了Atangana-Baleanu导数，得到了分数阶模型所必需的结果。得到了最优控制问题和Atangana-Baleanu导数的数值结果，并进行了详细的讨论。Atangana-Baleanu衍生结果表明，在任何时候，我们都可以检查疾病状况，为社区早期消除戊型肝炎提供有用的策略。(C) 2018 Elsevier Ltd.版权所有。
The present paper shows the dynamics of Hepatitis E with optimal control. The paper is analyzed by two different aspects: first, we explore the dynamics of Hepatitis E model and then applying the optimal control analysis. Secondly, we use the most appropriate and recent fractional order derivative called the Atangana-Baleanu derivative for the dynamical analysis of Hepatitis E model. The proposed model considered is locally asymptotically stable when the threshold quantity less than one. Further, we explore the stability analysis of the model when R-0 > 1. Then, we choose some appropriate control to formulate the optimality system. The results associated to the optimal control are obtained and discussed with different strategies. Moreover, we apply Atangana-Baleanu derivative to the proposed model and obtain the required results necessary for the fractional order model. Numerical results for the optimal control problem and Atangana-Baleanu derivative are obtained and discussed in detail. The results suggest that control variables chosen should be properly applied to get rid of the infection of Hepatitis E. The Atangana-Baleanu derivative results suggest that at any time t we can check the disease status and make a useful strategy for the early elimination of Hepatitis E from the community. (C) 2018 Elsevier Ltd. All rights reserved.