@article{Dong2026, 
author = {Xiu Dong and Ran Zhang and Xue Ren},
title = {Dynamical analysis for an age-structured hepatitis B infection model with latency and HBV DNA-containing capsids},
year = {2026},
journal = {Electronic Research Archive},
volume = {34},
number = {5},
pages = {3251-3276},
keywords = {hepatitis B virus, HBV DNA-containing capsids, age structure, latency, basic reproduction number},
url = {https://www.sciopen.com/article/10.3934/era.2026146},
doi = {10.3934/era.2026146},
abstract = {In this paper, we propose an HBV infection model with DNA-containing capsids and age structures in both the latent and infected compartments. We derive the basic reproduction number        ℜ    0   and prove, via Lyapunov functions and LaSalle's invariance principle, that the global dynamics are fully determined by        ℜ    0  : viral clearance when        ℜ    0    <  1 and endemic persistence when        ℜ    0    >  1. The local stability of each equilibrium is rigorously established by employing linearization techniques and analyzing the associated characteristic equations. Compared to the previous age-structured HBV models without a latent compartment, our results reveal the significant impact of latent age structure on infection thresholds and disease progression.}
}