Global stability of a HIV-1 CCR5 gene therapy with suicide gene
| Autor: | Junmei Liu, Yonggang Ma |
|---|---|
| Jazyk: | angličtina |
| Rok vydání: | 2024 |
| Předmět: | |
| Zdroj: | Systems Science & Control Engineering, Vol 12, Iss 1 (2024) |
| Druh dokumentu: | article |
| ISSN: | 21642583 2164-2583 |
| DOI: | 10.1080/21642583.2023.2291407 |
| Popis: | 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. |
| Databáze: | Directory of Open Access Journals |
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