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...
Saved in:
| Main Authors: | , |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
Taylor & Francis Group
2024-12-01
|
| Series: | Systems Science & Control Engineering |
| Subjects: | |
| Online Access: | https://www.tandfonline.com/doi/10.1080/21642583.2023.2291407 |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| Summary: | 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. |
|---|---|
| ISSN: | 2164-2583 |