A computational supervised neural network procedure for the fractional SIQ mathematical model

被引:0
作者
Kanit Mukdasai
Zulqurnain Sabir
Muhammad Asif Zahoor Raja
Peerapongpat Singkibud
R. Sadat
Mohamed R. Ali
机构
[1] Khon Kaen University,Department of Mathematics, Faculty of Science
[2] Hazara University,Department of Mathematics and Statistics
[3] National Yunlin University of Science and Technology,Future Technology Research Center
[4] Rajamangala University of Technology Isan,Department of Applied Mathematics and Statistics, Faculty of Science and Liberal Arts
[5] Zagazig University,Department of Mathematics, Faculty of Engineering
[6] Future University in Egypt,Faculty of Engineering and Technology
[7] Benha University,Basic Engineering Science Department, Benha Faculty of Engineering
[8] Lebanese American University, Department of Computer Science and Mathematics
来源
The European Physical Journal Special Topics | 2023年 / 232卷
关键词
D O I
暂无
中图分类号
学科分类号
摘要
The purpose of the current work is to provide the numerical solutions of the fractional mathematical system of the susceptible, infected and quarantine (SIQ) system based on the lockdown effects of the coronavirus disease. These investigations provide more accurateness by using the fractional SIQ system. The investigations based on the nonlinear, integer and mathematical form of the SIQ model together with the effects of lockdown are also presented in this work. The impact of the lockdown is classified into the susceptible/infection/quarantine categories, which is based on the system of differential models. The fractional study is provided to find the accurate as well as realistic solutions of the SIQ model using the artificial intelligence (AI) performances along with the scale conjugate gradient (SCG) design, i.e., AI-SCG. The fractional-order derivatives have been used to solve three different cases of the nonlinear SIQ differential model. The statics to perform the numerical results of the fractional SIQ dynamical system are 7% for validation, 82% for training and 11% for testing. To observe the exactness of the AI-SCG procedure, the comparison of the numerical attained performances of the results is presented with the reference Adam solutions. For the validation, authentication, aptitude, consistency and validity of the AI-SCG solver, the computing numerical results have been provided based on the error histograms, state transition measures, correlation/regression values and mean square error.
引用
收藏
页码:535 / 546
页数:11
相关论文
共 59 条
  • [1] Umar M(2020)Stochastic numerical technique for solving HIV infection model of CD4+ T cells Eur. Phys. J. Plus 135 403-194
  • [2] Umar M(2020)A stochastic numerical computing heuristic of SIR nonlinear model based on dengue fever Results Phys. 19 2000178-4
  • [3] Umar M(2021)A novel study of Morlet neural networks to solve the nonlinear HIV infection system of latently infected cells Results in Physics 25 177-168
  • [4] Spiteri G(2020)First cases of coronavirus disease 2019 (COVID-19) in the WHO European Region, 24 January to 21 February 2020 Eurosurveillance 25 1-207
  • [5] Benvenuto D(2020)Application of the ARIMA model on the COVID-2019 epidemic dataset Data Brief 29 148-802
  • [6] Rhodes T(2020)Mathematical models as public troubles in COVID-19 infection control: following the numbers Health Sociol. Rev. 29 198-1625
  • [7] Thompson RN(2020)Epidemiological models are important tools for guiding COVID-19 interventions BMC Med. 18 9488-465
  • [8] Libotte GB(2020)Determination of an optimal control strategy for vaccine administration in COVID-19 pandemic treatment Comput. Methods Programs Biomed. 196 793-374
  • [9] Lobato FS(2021)A primer on using mathematics to understand COVID-19 dynamics: Modeling, analysis and simulations Infectious Disease Modelling 6 2040026-12
  • [10] Platt GM(2021)Role of nanoparticles in tackling COVID-19 pandemic: a bio-nanomedical approach Journal of Taibah University for Science 15 1613-370