Nabeela Anwar, Iftikhar Ahmad, Hijab Javaid, Adiqa Kausar Kiani, Muhammad Shoaib, Muhammad Asif Zahoor Raja
{"title":"Dynamical analysis of hepatitis B virus through the stochastic and the deterministic model.","authors":"Nabeela Anwar, Iftikhar Ahmad, Hijab Javaid, Adiqa Kausar Kiani, Muhammad Shoaib, Muhammad Asif Zahoor Raja","doi":"10.1080/10255842.2025.2470798","DOIUrl":null,"url":null,"abstract":"<p><p>In the current work, the deterministic hepatitis B virus epidemic (DHBVE) model and the stochastic hepatitis B virus epidemic (SHBVE) model are two nonlinear mathematical models that serve as the framework to illustrate and predict the dynamic virus behavior of hepatitis B. We employ an approximation based on the outcomes of the deterministic model to solve the stochastic model numerically. Euler-Maruyama method is employed to investigate the SHBVE model, whereas an explicit Runge-Kutta method is exploited to calculate the solution to the DHBVE model. Finally, comparisons between the DHBVE and SHBVE models' frameworks are presented.</p>","PeriodicalId":50640,"journal":{"name":"Computer Methods in Biomechanics and Biomedical Engineering","volume":" ","pages":"1-17"},"PeriodicalIF":1.7000,"publicationDate":"2025-02-28","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Computer Methods in Biomechanics and Biomedical Engineering","FirstCategoryId":"5","ListUrlMain":"https://doi.org/10.1080/10255842.2025.2470798","RegionNum":4,"RegionCategory":"医学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q3","JCRName":"COMPUTER SCIENCE, INTERDISCIPLINARY APPLICATIONS","Score":null,"Total":0}
引用次数: 0
Abstract
In the current work, the deterministic hepatitis B virus epidemic (DHBVE) model and the stochastic hepatitis B virus epidemic (SHBVE) model are two nonlinear mathematical models that serve as the framework to illustrate and predict the dynamic virus behavior of hepatitis B. We employ an approximation based on the outcomes of the deterministic model to solve the stochastic model numerically. Euler-Maruyama method is employed to investigate the SHBVE model, whereas an explicit Runge-Kutta method is exploited to calculate the solution to the DHBVE model. Finally, comparisons between the DHBVE and SHBVE models' frameworks are presented.
期刊介绍:
The primary aims of Computer Methods in Biomechanics and Biomedical Engineering are to provide a means of communicating the advances being made in the areas of biomechanics and biomedical engineering and to stimulate interest in the continually emerging computer based technologies which are being applied in these multidisciplinary subjects. Computer Methods in Biomechanics and Biomedical Engineering will also provide a focus for the importance of integrating the disciplines of engineering with medical technology and clinical expertise. Such integration will have a major impact on health care in the future.