@article{Meng2024, 
author = {Ru Meng and Yantao Luo and Tingting Zheng},
title = {Stability analysis for a HIV model with cell-to-cell transmission, two immune responses and induced apoptosis},
year = {2024},
journal = {AIMS Mathematics},
volume = {9},
number = {6},
pages = {14786-14806},
keywords = {HIV model, cell-to-cell transmission, induced apoptosis, global asymptotic stability, Lyapunov function},
url = {https://www.sciopen.com/article/10.3934/math.2024719},
doi = {10.3934/math.2024719},
abstract = {In this paper, a dynamic HIV model with cell-to-cell transmission, two immune responses, and induced apoptosis is proposed and studied. First, the non-negativity and boundedness of the solutions of the model are given, and then the exact expression of the basic reproduction number        R          0       is obtained by using the next generation matrix method. Second, criteria are obtained for the local stability of the disease-free equilibrium, immune response-free equilibrium, and the infected equilibrium with both humoral and cellular immune responses. Furthermore, the threshold conditions are also derived for the global asymptotic stability of the disease-free equilibrium, immune response-free equilibrium, and the infected equilibrium with both humoral and cellular immune responses by constructing the suitable Lyapunov function. Finally, some numerical simulations are conducted to verify the theoretical results; the numerical simulation results show that the increase of apoptosis rate had a positive role in the control of viral infection.}
}