{"title":"A design of computational stochastic framework for the mathematical severe acute respiratory syndrome coronavirus model","authors":"","doi":"10.1016/j.bspc.2024.107049","DOIUrl":null,"url":null,"abstract":"<div><div>This study presents the comprehensive investigations into the dynamics of a novel coronavirus infection within a population, which accounts for all potential interactions in the disease’s spread. The solutions of the novel nonlinear infectious disease system are performed stochastically by using the Levenberg-Marquardt Backpropagation neural network. This process contains ten neurons and log-sigmoid transfer function in the hidden layers. The training data is taken as 74%, while the testing and authentication statics are used as 14% and 12%. To assess the precision of the designed solver, a comparison based on the obtained and reference results along with the negligible absolute error up to order fourth to seventh decimal places is performed for each case of the model. Stability and sensitivity analyses reveal the robustness of the model across various parameters. For the reliability, consistency, and correctness of the model across various states, and the numerical analysis with graphical form of the statistical indices based on correlation, error histograms, transition of state, and regression analysis is presented.</div></div>","PeriodicalId":55362,"journal":{"name":"Biomedical Signal Processing and Control","volume":null,"pages":null},"PeriodicalIF":4.9000,"publicationDate":"2024-11-05","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Biomedical Signal Processing and Control","FirstCategoryId":"5","ListUrlMain":"https://www.sciencedirect.com/science/article/pii/S1746809424011078","RegionNum":2,"RegionCategory":"医学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q1","JCRName":"ENGINEERING, BIOMEDICAL","Score":null,"Total":0}
引用次数: 0
Abstract
This study presents the comprehensive investigations into the dynamics of a novel coronavirus infection within a population, which accounts for all potential interactions in the disease’s spread. The solutions of the novel nonlinear infectious disease system are performed stochastically by using the Levenberg-Marquardt Backpropagation neural network. This process contains ten neurons and log-sigmoid transfer function in the hidden layers. The training data is taken as 74%, while the testing and authentication statics are used as 14% and 12%. To assess the precision of the designed solver, a comparison based on the obtained and reference results along with the negligible absolute error up to order fourth to seventh decimal places is performed for each case of the model. Stability and sensitivity analyses reveal the robustness of the model across various parameters. For the reliability, consistency, and correctness of the model across various states, and the numerical analysis with graphical form of the statistical indices based on correlation, error histograms, transition of state, and regression analysis is presented.
期刊介绍:
Biomedical Signal Processing and Control aims to provide a cross-disciplinary international forum for the interchange of information on research in the measurement and analysis of signals and images in clinical medicine and the biological sciences. Emphasis is placed on contributions dealing with the practical, applications-led research on the use of methods and devices in clinical diagnosis, patient monitoring and management.
Biomedical Signal Processing and Control reflects the main areas in which these methods are being used and developed at the interface of both engineering and clinical science. The scope of the journal is defined to include relevant review papers, technical notes, short communications and letters. Tutorial papers and special issues will also be published.