@article{Zheng2026, 
author = {Weimiao Zheng and Juan Wang and Xia Wang},
title = {Dynamics of an HIV model with immune response and two types of infected cells},
year = {2026},
journal = {AIMS Mathematics},
volume = {11},
number = {1},
pages = {558-577},
keywords = {HIV infection model, two types of infected cells, cell-to-cell transmission, basic reproduction number, CTL immune response},
url = {https://www.sciopen.com/article/10.3934/math.2026024},
doi = {10.3934/math.2026024},
abstract = {This research investigates a mathematical model for human immunodeficiency virus (HIV) infections that incorporates cytotoxic T lymphocyte (CTL) immune responses and two types of infected cells. Additionally, the model reflects the effect of antiretroviral therapies. By using the next-generation matrix method, the basic reproduction number        R    0   and the CTL immune reproduction number        R    1   are calculated. The existence and stability of equilibria are discussed. In particular, if        R    0    <  1, then the infection-free equilibrium is globally asymptotically stable. Moreover, through analyzing the transmission dynamics of HIV within the human body under the influence of drug treatment, this study provides a theoretical foundation to optimize antiretroviral therapy strategies.}
}