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Lyapunov functions and LaSalle\u2019s invariance are constructed to prove the global stability of all steady states. Global dynamics of the human immunodeficiency viruses model can be accurately expressed by threshold parameters; also the existence of Hopf bifurcation is discussed and the results are expressed in the form of a proposition. Furthermore, numerical simulations confirm the corresponding theoretical results. <\/jats:p>","DOI":"10.1142\/s0218127423501626","type":"journal-article","created":{"date-parts":[[2023,11,24]],"date-time":"2023-11-24T02:56:42Z","timestamp":1700794602000},"source":"Crossref","is-referenced-by-count":5,"title":["Stability, Hopf Bifurcation and Numerical Simulation of an HIV Model with Two Modes of Transmission and with Cellular and Humoral Immunity"],"prefix":"10.1142","volume":"33","author":[{"given":"Zeynab","family":"Hemmatzadeh","sequence":"first","affiliation":[{"name":"Department of Mathematics, Azarbaijan Shahid Madani University, Tabriz, Iran"}],"role":[{"vocabulary":"crossref","role":"author"}]},{"ORCID":"https:\/\/orcid.org\/0000-0002-2155-6433","authenticated-orcid":false,"given":"Vahid","family":"Roomi","sequence":"additional","affiliation":[{"name":"Department of Mathematics, Azarbaijan Shahid Madani University, Tabriz, Iran"},{"name":"Insurance Research Center, Tehran, Iran"}],"role":[{"vocabulary":"crossref","role":"author"}]},{"given":"Tohid Kasbi","family":"Gharahasanlou","sequence":"additional","affiliation":[{"name":"Department of Mathematics and Statistics, Imam Hossein University, Tehran, Iran"}],"role":[{"vocabulary":"crossref","role":"author"}]}],"member":"219","published-online":{"date-parts":[[2023,11,24]]},"reference":[{"key":"S0218127423501626BIB001","doi-asserted-by":"crossref","first-page":"110092","DOI":"10.1016\/j.chaos.2020.110092","volume":"139","author":"Abdel-Aty A.","year":"2020","journal-title":"Chaos Solit. 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