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基于人工神经网络的启发式方法,用于求解包含政府策略和个体反应的新冠肺炎模型。

Artificial neural network-based heuristic to solve COVID-19 model including government strategies and individual responses.

作者信息

Botmart Thongchai, Sabir Zulqurnain, Javeed Shumaila, Sandoval Núñez Rafaél Artidoro, Ali Mohamed R, Sadat R

机构信息

Department of Mathematics, Faculty of Science, Khon Kaen University, Khon Kaen, 40002, Thailand.

Department of Mathematics and Statistics, Hazara University, Mansehra, Pakistan.

出版信息

Inform Med Unlocked. 2022;32:101028. doi: 10.1016/j.imu.2022.101028. Epub 2022 Aug 6.

Abstract

The current work aims to design a computational framework based on artificial neural networks (ANNs) and the optimization procedures of global and local search approach to solve the nonlinear dynamics of the spread of COVID-19, i.e., the SEIR-NDC model. The combination of the Genetic algorithm (GA) and active-set approach (ASA), i.e., GA-ASA, works as a global-local search scheme to solve the SEIR-NDC model. An error-based fitness function is optimized through the hybrid combination of the GA-ASA by using the differential SEIR-NDC model and its initial conditions. The numerical performances of the SEIR-NDC nonlinear model are presented through the procedures of ANNs along with GA-ASA by taking ten neurons. The correctness of the designed scheme is observed by comparing the obtained results based on the SEIR-NDC model and the reference Adams method. The absolute error performances are performed in suitable ranges for each dynamic of the SEIR-NDC model. The statistical analysis is provided to authenticate the reliability of the proposed scheme. Moreover, performance indices graphs and convergence measures are provided to authenticate the exactness and constancy of the proposed stochastic scheme.

摘要

当前工作旨在设计一个基于人工神经网络(ANNs)以及全局和局部搜索方法的优化程序的计算框架,以求解新冠病毒传播的非线性动力学,即SEIR-NDC模型。遗传算法(GA)和活动集方法(ASA)的组合,即GA-ASA,作为一种全局-局部搜索方案来求解SEIR-NDC模型。通过使用差分SEIR-NDC模型及其初始条件,基于GA-ASA的混合组合优化基于误差的适应度函数。通过具有十个神经元的人工神经网络程序以及GA-ASA来呈现SEIR-NDC非线性模型的数值性能。通过比较基于SEIR-NDC模型获得的结果和参考亚当斯方法来观察所设计方案的正确性。在SEIR-NDC模型的每个动态的合适范围内进行绝对误差性能分析。提供统计分析以验证所提方案的可靠性。此外,还提供性能指标图和收敛度量以验证所提随机方案的准确性和稳定性。

https://cdn.ncbi.nlm.nih.gov/pmc/blobs/a47b/9356764/73ff715b3f9b/gr1_lrg.jpg

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