{"title":"Behavior of Trajectories of a Four-Dimensional Model of HIV Infection","authors":"A. N. Kanatnikov, O. S. Tkacheva","doi":"10.1134/s00122661230110022","DOIUrl":null,"url":null,"abstract":"<h3 data-test=\"abstract-sub-heading\">Abstract</h3><p> A model of interaction between the human immunodeficiency virus and the human\nimmune system is considered. Equilibria in the state space of the system and their stability are\nanalyzed, and the ultimate bounds of the trajectories are constructed. It has been proved that the\nlocal asymptotic stability of the equilibrium corresponding to the absence of disease is equivalent\nto its global asymptotic stability. The loss of stability is shown to be caused by a transcritical\nbifurcation.\n</p>","PeriodicalId":0,"journal":{"name":"","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2023-12-29","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"","FirstCategoryId":"100","ListUrlMain":"https://doi.org/10.1134/s00122661230110022","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
A model of interaction between the human immunodeficiency virus and the human
immune system is considered. Equilibria in the state space of the system and their stability are
analyzed, and the ultimate bounds of the trajectories are constructed. It has been proved that the
local asymptotic stability of the equilibrium corresponding to the absence of disease is equivalent
to its global asymptotic stability. The loss of stability is shown to be caused by a transcritical
bifurcation.
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