Stability analysis of age-structured viral infection dynamics with cell-to-cell transmission and humoral immunity
Abstract
Abstract This study investigates a viral infection dynamics model that incorporates cell-to-cell transmission, latency, and a generalized humoral immune response. We rigorously establish the existence and uniqueness, boundedness, and asymptotic smoothness of the model’s semi-flow solution, discuss the local and global stability of equilibria, and identify two key thresholds ( $\mathcal{R}_{0}$ R 0 and $\mathcal{R}_{1}$ R 1 ) that govern the model’s global dynamics. To demonstrate that HIV transmission may indeed exhibit the described dynamic behaviours, we fit viral load data from two HIV cases, revealing distinct immune states in the two patients.
Fields of Study & Subjects
Mathematical and Theoretical Epidemiology and Ecology Models
Mathematical Biology Tumor Growth
COVID-19 epidemiological studies
Publication details
- Journal / source
- Advances in Continuous and Discrete Models
- Volume
- 2026
- Issue
- 1
- Publication date
- 11 February 2026
- Language
- EN