Global stability of a HIV-1 CCR5 gene therapy with suicide gene
In AIDS treatment, gene therapy targeting only CCR5 co-receptors cannot suppress HIV-1 (this is consistent with current data). When we construct a mathematical model, it is assumed that the same gene therapy combined with the expressed suicide gene only in HIV-1 infection can significantly improve t...
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| Language: | English |
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Taylor & Francis Group
2024-12-01
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| Series: | Systems Science & Control Engineering |
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| Online Access: | https://www.tandfonline.com/doi/10.1080/21642583.2023.2291407 |
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| author | Junmei Liu Yonggang Ma |
| author_facet | Junmei Liu Yonggang Ma |
| author_sort | Junmei Liu |
| collection | DOAJ |
| description | In AIDS treatment, gene therapy targeting only CCR5 co-receptors cannot suppress HIV-1 (this is consistent with current data). When we construct a mathematical model, it is assumed that the same gene therapy combined with the expressed suicide gene only in HIV-1 infection can significantly improve the therapeutic effect. This paper analyzes the dynamic characteristics of HIV-1 CCR5 gene therapy combined with suicide gene therapy by establishing a mathematical model. Firstly, the basic reproduction number [Formula: see text] is obtained by using the next generation matrix method. Subsequently, using the Routh Hurwitz theorem and the central flow theorem, we show that the disease-free equilibrium and endemic equilibrium are locally asymptotically stable, respectively. Furthermore, the Lyapunov function is constructed to prove the global stability of disease-free equilibrium and endemic equilibrium under certain conditions. Finally, the numerical simulations confirm the correctness of the results. |
| format | Article |
| id | doaj-art-be16726ee1c54cd8a126c304298a9621 |
| institution | OA Journals |
| issn | 2164-2583 |
| language | English |
| publishDate | 2024-12-01 |
| publisher | Taylor & Francis Group |
| record_format | Article |
| series | Systems Science & Control Engineering |
| spelling | doaj-art-be16726ee1c54cd8a126c304298a96212025-08-20T02:36:39ZengTaylor & Francis GroupSystems Science & Control Engineering2164-25832024-12-0112110.1080/21642583.2023.2291407Global stability of a HIV-1 CCR5 gene therapy with suicide geneJunmei Liu0Yonggang Ma1School of Mathematics and Statistics, Yulin University, Yulin, People's Republic of ChinaSchool of Mathematics and Statistics, Yulin University, Yulin, People's Republic of ChinaIn AIDS treatment, gene therapy targeting only CCR5 co-receptors cannot suppress HIV-1 (this is consistent with current data). When we construct a mathematical model, it is assumed that the same gene therapy combined with the expressed suicide gene only in HIV-1 infection can significantly improve the therapeutic effect. This paper analyzes the dynamic characteristics of HIV-1 CCR5 gene therapy combined with suicide gene therapy by establishing a mathematical model. Firstly, the basic reproduction number [Formula: see text] is obtained by using the next generation matrix method. Subsequently, using the Routh Hurwitz theorem and the central flow theorem, we show that the disease-free equilibrium and endemic equilibrium are locally asymptotically stable, respectively. Furthermore, the Lyapunov function is constructed to prove the global stability of disease-free equilibrium and endemic equilibrium under certain conditions. Finally, the numerical simulations confirm the correctness of the results.https://www.tandfonline.com/doi/10.1080/21642583.2023.2291407Global stabilitygene therapyHIV-1 |
| spellingShingle | Junmei Liu Yonggang Ma Global stability of a HIV-1 CCR5 gene therapy with suicide gene Systems Science & Control Engineering Global stability gene therapy HIV-1 |
| title | Global stability of a HIV-1 CCR5 gene therapy with suicide gene |
| title_full | Global stability of a HIV-1 CCR5 gene therapy with suicide gene |
| title_fullStr | Global stability of a HIV-1 CCR5 gene therapy with suicide gene |
| title_full_unstemmed | Global stability of a HIV-1 CCR5 gene therapy with suicide gene |
| title_short | Global stability of a HIV-1 CCR5 gene therapy with suicide gene |
| title_sort | global stability of a hiv 1 ccr5 gene therapy with suicide gene |
| topic | Global stability gene therapy HIV-1 |
| url | https://www.tandfonline.com/doi/10.1080/21642583.2023.2291407 |
| work_keys_str_mv | AT junmeiliu globalstabilityofahiv1ccr5genetherapywithsuicidegene AT yonggangma globalstabilityofahiv1ccr5genetherapywithsuicidegene |