{"title":"Analysis of a viral infection model with immune impairment and cure rate","authors":"J. Jia, Xuewei Shi","doi":"10.22436/JNSA.009.05.115","DOIUrl":null,"url":null,"abstract":"In this paper, the dynamics behavior of a delayed viral infection model with immune impairment and cure rate is studied. It is shown that there exists three equilibria. By analyzing the characteristic equations, the local stability of the infection-free equilibrium and the immune-exhausted equilibrium of the model are established. In the following, the stability of the positive equilibrium is studied. Furthermore, we investigate the existence of Hopf bifurcation by using a delay as a bifurcation parameter. Finally, numerical simulations are carried out to explain the mathematical conclusions. c ©2016 All rights reserved.","PeriodicalId":22770,"journal":{"name":"The Journal of Nonlinear Sciences and Applications","volume":null,"pages":null},"PeriodicalIF":0.0000,"publicationDate":"2016-05-29","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"8","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"The Journal of Nonlinear Sciences and Applications","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.22436/JNSA.009.05.115","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
引用次数: 8
一种具有免疫功能障碍的病毒感染模型及治愈率分析
研究了一类具有免疫损伤和治愈率的延迟病毒感染模型的动力学行为。结果表明，存在三个平衡态。通过对特征方程的分析，建立了模型的无感染平衡和免疫耗尽平衡的局部稳定性。下面研究正平衡的稳定性。进一步，我们利用时滞作为分岔参数，研究了Hopf分岔的存在性。最后，通过数值模拟对数学结论进行了解释。c©2016版权所有。
本文章由计算机程序翻译，如有差异，请以英文原文为准。
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