PMID- 36016341 OWN - NLM STAT- MEDLINE DCOM- 20220829 LR - 20220902 IS - 1999-4915 (Electronic) IS - 1999-4915 (Linking) VI - 14 IP - 8 DP - 2022 Aug 4 TI - Dynamics of HIV-1/HTLV-I Co-Infection Model with Humoral Immunity and Cellular Infection. LID - 10.3390/v14081719 [doi] LID - 1719 AB - Human immunodeficiency virus type 1 (HIV-1) and human T-lymphotropic virus type I (HTLV-I) are two retroviruses which infect the same target, CD4+ T cells. This type of cell is considered the main component of the immune system. Since both viruses have the same means of transmission between individuals, HIV-1-infected patients are more exposed to the chance of co-infection with HTLV-I, and vice versa, compared to the general population. The mathematical modeling and analysis of within-host HIV-1/HTLV-I co-infection dynamics can be considered a robust tool to support biological and medical research. In this study, we have formulated and analyzed an HIV-1/HTLV-I co-infection model with humoral immunity, taking into account both latent HIV-1-infected cells and HTLV-I-infected cells. The model considers two modes of HIV-1 dissemination, virus-to-cell (V-T-C) and cell-to-cell (C-T-C). We prove the nonnegativity and boundedness of the solutions of the model. We find all steady states of the model and establish their existence conditions. We utilize Lyapunov functions and LaSalle's invariance principle to investigate the global stability of all the steady states of the model. Numerical simulations were performed to illustrate the corresponding theoretical results. The effects of humoral immunity and C-T-C transmission on the HIV-1/HTLV-I co-infection dynamics are discussed. We have shown that humoral immunity does not play the role of clearing an HIV-1 infection but it can control HIV-1 infection. Furthermore, we note that the omission of C-T-C transmission from the HIV-1/HTLV-I co-infection model leads to an under-evaluation of the basic HIV-1 mono-infection reproductive ratio. FAU - AlShamrani, Noura H AU - AlShamrani NH AUID- ORCID: 0000-0002-6324-2774 AD - Department of Mathematics, Faculty of Science, University of Jeddah, P.O. Box 80327, Jeddah 21589, Saudi Arabia. FAU - Alshaikh, Matuka A AU - Alshaikh MA AUID- ORCID: 0000-0003-0921-0031 AD - Department of Mathematics, College of Science, Taif University, P.O. Box 11099, Taif 21974, Saudi Arabia. FAU - Elaiw, Ahmed M AU - Elaiw AM AUID- ORCID: 0000-0001-5030-633X AD - Department of Mathematics, Faculty of Science, King Abdulaziz University, P.O. Box 80203, Jeddah 21589, Saudi Arabia. AD - Department of Mathematics, Faculty of Science, Al-Azhar University, Assiut Branch, Assiut 71524, Egypt. FAU - Hattaf, Khalid AU - Hattaf K AUID- ORCID: 0000-0002-5032-3639 AD - Equipe de Recherche en Modelisation et Enseignement des Mathematiques (ERMEM), Centre Regional des Metiers de l'Education et de la Formation (CRMEF), Derb Ghalef, Casablanca 20340, Morocco. LA - eng PT - Journal Article PT - Research Support, Non-U.S. Gov't DEP - 20220804 PL - Switzerland TA - Viruses JT - Viruses JID - 101509722 SB - IM MH - *Coinfection MH - *HIV Infections MH - *HIV-1 MH - *HTLV-I Infections MH - *Human T-lymphotropic virus 1 MH - Humans MH - Immunity, Humoral MH - Virus Latency PMC - PMC9415130 OTO - NOTNLM OT - HIV-1/HTLV-I co-infection OT - Lyapunov function OT - cell-to-cell infection OT - global stability OT - humoral immunity COIS- The authors declare no conflict of interest. EDAT- 2022/08/27 06:00 MHDA- 2022/08/30 06:00 PMCR- 2022/08/04 CRDT- 2022/08/26 01:48 PHST- 2022/06/12 00:00 [received] PHST- 2022/07/30 00:00 [revised] PHST- 2022/07/30 00:00 [accepted] PHST- 2022/08/26 01:48 [entrez] PHST- 2022/08/27 06:00 [pubmed] PHST- 2022/08/30 06:00 [medline] PHST- 2022/08/04 00:00 [pmc-release] AID - v14081719 [pii] AID - viruses-14-01719 [pii] AID - 10.3390/v14081719 [doi] PST - epublish SO - Viruses. 2022 Aug 4;14(8):1719. doi: 10.3390/v14081719.