HPV感染的分数阶迟发性宫颈癌模型的稳定性、Hopf分岔和控制。

IF 1.7 4区医学 Q3 COMPUTER SCIENCE, INTERDISCIPLINARY APPLICATIONS

Computer Methods in Biomechanics and Biomedical Engineering Pub Date : 2025-02-08 DOI:10.1080/10255842.2025.2457601

Ruiqing Shi, Chenning Zhao

{"title":"HPV感染的分数阶迟发性宫颈癌模型的稳定性、Hopf分岔和控制。","authors":"Ruiqing Shi, Chenning Zhao","doi":"10.1080/10255842.2025.2457601","DOIUrl":null,"url":null,"abstract":"This paper presents a basic model for the therapeutic effect of two drugs on patients with early cervical cancer. Two cases are considered: with constant control and with optimal control. For case one, the system is proved to have a unique non-negativity solution if the initial values are positive; then the sufficient conditions for the existence and stability of the equilibriums are derived; and Hopf bifurcation is also considered. For case two, by using the Pontryagin's Maximum Principle, we get the optimal control solution. Some examples and numerical simulations are presented. Discussions and conclusions are listed at the end.","PeriodicalId":50640,"journal":{"name":"Computer Methods in Biomechanics and Biomedical Engineering","volume":" ","pages":"1-25"},"PeriodicalIF":1.7000,"publicationDate":"2025-02-08","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"Stability, Hopf bifurcation and control of a fractional order delay cervical cancer model with HPV infection.\",\"authors\":\"Ruiqing Shi, Chenning Zhao\",\"doi\":\"10.1080/10255842.2025.2457601\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"This paper presents a basic model for the therapeutic effect of two drugs on patients with early cervical cancer. Two cases are considered: with constant control and with optimal control. For case one, the system is proved to have a unique non-negativity solution if the initial values are positive; then the sufficient conditions for the existence and stability of the equilibriums are derived; and Hopf bifurcation is also considered. For case two, by using the Pontryagin's Maximum Principle, we get the optimal control solution. Some examples and numerical simulations are presented. Discussions and conclusions are listed at the end.\",\"PeriodicalId\":50640,\"journal\":{\"name\":\"Computer Methods in Biomechanics and Biomedical Engineering\",\"volume\":\" \",\"pages\":\"1-25\"},\"PeriodicalIF\":1.7000,\"publicationDate\":\"2025-02-08\",\"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/10.1080/10255842.2025.2457601\",\"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}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Computer Methods in Biomechanics and Biomedical Engineering","FirstCategoryId":"5","ListUrlMain":"https://doi.org/10.1080/10255842.2025.2457601","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

摘要

本文提出了两种药物对早期宫颈癌患者治疗效果的基本模型。考虑了两种情况：恒定控制和最优控制。对于情形一，当初值为正时，证明系统有唯一非负解；然后给出了平衡存在和稳定的充分条件；并考虑了Hopf分岔。对于情形二，通过使用庞特里亚金极大值原理，我们得到了最优控制解。给出了一些算例和数值模拟。最后给出了讨论和结论。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

查看原文本刊更多论文

Stability, Hopf bifurcation and control of a fractional order delay cervical cancer model with HPV infection.

This paper presents a basic model for the therapeutic effect of two drugs on patients with early cervical cancer. Two cases are considered: with constant control and with optimal control. For case one, the system is proved to have a unique non-negativity solution if the initial values are positive; then the sufficient conditions for the existence and stability of the equilibriums are derived; and Hopf bifurcation is also considered. For case two, by using the Pontryagin's Maximum Principle, we get the optimal control solution. Some examples and numerical simulations are presented. Discussions and conclusions are listed at the end.

求助全文

通过发布文献求助，成功后即可免费获取论文全文。去求助

来源期刊

Computer Methods in Biomechanics and Biomedical Engineering 工程技术-工程：生物医学

CiteScore

4.10

自引率

6.20%

发文量

179

审稿时长

4-8 weeks

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.