Zahra Belarbi, Benaoumeur Bayour, Delfim F. M. Torres
{"title":"Uniform Stability of Dynamic SICA HIV Transmission Models on Time Scales","authors":"Zahra Belarbi, Benaoumeur Bayour, Delfim F. M. Torres","doi":"arxiv-2406.18596","DOIUrl":null,"url":null,"abstract":"We consider a SICA model for HIV transmission on time scales. We prove\npermanence of solutions and we derive sufficient conditions for the existence\nand uniform asymptotic stability of a unique positive almost periodic solution\nof the system in terms of a Lyapunov function.","PeriodicalId":501502,"journal":{"name":"arXiv - MATH - General Mathematics","volume":"57 1","pages":""},"PeriodicalIF":0.0000,"publicationDate":"2024-06-11","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"arXiv - MATH - General Mathematics","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/arxiv-2406.18596","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
引用次数: 0
Abstract
We consider a SICA model for HIV transmission on time scales. We prove
permanence of solutions and we derive sufficient conditions for the existence
and uniform asymptotic stability of a unique positive almost periodic solution
of the system in terms of a Lyapunov function.