Global stability of a HIV-1 CCR5 gene therapy with suicide gene

Abstract

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 R 0 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.