Acta Mathematicae Applicatae Sinica, English Series最新文献

筛选
英文 中文
Global Stability of a Time-delayed Malaria Model with Standard Incidence Rate 具有标准发病率的时滞疟疾模型的全局稳定性
IF 0.8 4区 数学
Acta Mathematicae Applicatae Sinica, English Series Pub Date : 2023-03-01 DOI: 10.1007/s10255-023-1042-y
Song-bai Guo, Min He, Jing-an Cui
{"title":"Global Stability of a Time-delayed Malaria Model with Standard Incidence Rate","authors":"Song-bai Guo,&nbsp;Min He,&nbsp;Jing-an Cui","doi":"10.1007/s10255-023-1042-y","DOIUrl":"10.1007/s10255-023-1042-y","url":null,"abstract":"<div><p>A four-dimensional delay differential equations (DDEs) model of malaria with standard incidence rate is proposed. By utilizing the limiting system of the model and Lyapunov direct method, the global stability of equilibria of the model is obtained with respect to the basic reproduction number <i>R</i><sub>0</sub>. Specifically, it shows that the disease-free equilibrium <i>E</i><sup>0</sup> is globally asymptotically stable (GAS) for <i>R</i><sub>0</sub> &lt; 1, and globally attractive (GA) for <i>R</i><sub>0</sub> = 1, while the endemic equilibrium <i>E*</i> is GAS and <i>E</i><sup>0</sup> is unstable for <i>R</i><sub>0</sub> &gt; 1. Especially, to obtain the global stability of the equilibrium <i>E*</i> for <i>R</i><sub>0</sub> &gt; 1, the weak persistence of the model is proved by some analysis techniques.</p></div>","PeriodicalId":6951,"journal":{"name":"Acta Mathematicae Applicatae Sinica, English Series","volume":"39 2","pages":"211 - 221"},"PeriodicalIF":0.8,"publicationDate":"2023-03-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://link.springer.com/content/pdf/10.1007/s10255-023-1042-y.pdf","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"9385455","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"OA","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 1
0
×
引用
GB/T 7714-2015
复制
MLA
复制
APA
复制
导出至
BibTeX EndNote RefMan NoteFirst NoteExpress
×
提示
您的信息不完整,为了账户安全,请先补充。
现在去补充
×
提示
您因"违规操作"
具体请查看互助需知
我知道了
×
提示
确定
请完成安全验证×
相关产品
×
本文献相关产品
联系我们:info@booksci.cn Book学术提供免费学术资源搜索服务,方便国内外学者检索中英文文献。致力于提供最便捷和优质的服务体验。 Copyright © 2023 布克学术 All rights reserved.
京ICP备2023020795号-1
ghs 京公网安备 11010802042870号
Book学术文献互助
Book学术文献互助群
群 号:481959085
Book学术官方微信