Stability of HIV/HTLV co-infection model with effective HIV-specific antibody immune response
This paper presents two HIV/HTLV co-infection models with antibody immune response. The first model is given by 5-dimensional ODEs that describe the within–host interactions of five compartments, susceptible CD4+T cells, HIV-infected cells, HTLV-infected cells, free HIV particles and HIV-specific an...
| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
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Elsevier
2021-08-01
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| Series: | Results in Physics |
| Subjects: | |
| Online Access: | http://www.sciencedirect.com/science/article/pii/S2211379721005647 |
| _version_ | 1818888827110948864 |
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| author | M.A. Alshaikh N.H. AlShamrani A.M. Elaiw |
| author_facet | M.A. Alshaikh N.H. AlShamrani A.M. Elaiw |
| author_sort | M.A. Alshaikh |
| collection | DOAJ |
| description | This paper presents two HIV/HTLV co-infection models with antibody immune response. The first model is given by 5-dimensional ODEs that describe the within–host interactions of five compartments, susceptible CD4+T cells, HIV-infected cells, HTLV-infected cells, free HIV particles and HIV-specific antibodies. In the second model, we incorporate both silent HIV-infected cells and silent HTLV-infected cells. For both models we address the properties of the solutions, then we investigate the global stability of the steady states. Our global stability results are based on constructing Lyapunov functions and using LaSalle’s invariance principle. To support our theoretical results we conduct some numerical simulations. |
| first_indexed | 2024-12-19T16:59:18Z |
| format | Article |
| id | doaj.art-8a8531fc7a914b5ba73e6762fd218c5d |
| institution | Directory Open Access Journal |
| issn | 2211-3797 |
| language | English |
| last_indexed | 2024-12-19T16:59:18Z |
| publishDate | 2021-08-01 |
| publisher | Elsevier |
| record_format | Article |
| series | Results in Physics |
| spelling | doaj.art-8a8531fc7a914b5ba73e6762fd218c5d2022-12-21T20:13:20ZengElsevierResults in Physics2211-37972021-08-0127104448Stability of HIV/HTLV co-infection model with effective HIV-specific antibody immune responseM.A. Alshaikh0N.H. AlShamrani1A.M. Elaiw2Department of Mathematics, College of Science, Taif University, P.O. Box 888, Taif 21974, Saudi ArabiaDepartment of Mathematics, Faculty of Science, King Abdulaziz University, P.O. Box 80203, Jeddah 21589, Saudi Arabia; Department of Mathematics, Faculty of Science, University of Jeddah, P.O. Box 80327, Jeddah 21589, Saudi ArabiaDepartment of Mathematics, Faculty of Science, King Abdulaziz University, P.O. Box 80203, Jeddah 21589, Saudi Arabia; Department of Mathematics, Faculty of Science, Al-Azhar University, Assiut Branch, Assiut, Egypt; Corresponding author.This paper presents two HIV/HTLV co-infection models with antibody immune response. The first model is given by 5-dimensional ODEs that describe the within–host interactions of five compartments, susceptible CD4+T cells, HIV-infected cells, HTLV-infected cells, free HIV particles and HIV-specific antibodies. In the second model, we incorporate both silent HIV-infected cells and silent HTLV-infected cells. For both models we address the properties of the solutions, then we investigate the global stability of the steady states. Our global stability results are based on constructing Lyapunov functions and using LaSalle’s invariance principle. To support our theoretical results we conduct some numerical simulations.http://www.sciencedirect.com/science/article/pii/S2211379721005647HIV/HTLV co-infectionHIV-specific antibody immune responseGlobal stability |
| spellingShingle | M.A. Alshaikh N.H. AlShamrani A.M. Elaiw Stability of HIV/HTLV co-infection model with effective HIV-specific antibody immune response Results in Physics HIV/HTLV co-infection HIV-specific antibody immune response Global stability |
| title | Stability of HIV/HTLV co-infection model with effective HIV-specific antibody immune response |
| title_full | Stability of HIV/HTLV co-infection model with effective HIV-specific antibody immune response |
| title_fullStr | Stability of HIV/HTLV co-infection model with effective HIV-specific antibody immune response |
| title_full_unstemmed | Stability of HIV/HTLV co-infection model with effective HIV-specific antibody immune response |
| title_short | Stability of HIV/HTLV co-infection model with effective HIV-specific antibody immune response |
| title_sort | stability of hiv htlv co infection model with effective hiv specific antibody immune response |
| topic | HIV/HTLV co-infection HIV-specific antibody immune response Global stability |
| url | http://www.sciencedirect.com/science/article/pii/S2211379721005647 |
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