Analysis of an HIV infection model with delays
Abstract
In this article, we present an HIV infection model with CTL immune response, immune impairment, and intracellular delay. Firstly, we study the well-posedness of the HIV infection model, then we give the basic reproduction number \(\mathcal{R}_0\) and the existence of the equilibria. Secondly, we show that the basic reproduction number determines the stability of the equilibria. That is, by analyzing the distribution of the roots of the characteristic equation and constructing two appropriate Lyapunov functionals, we give the stability of the equilibria. Finally, two numerical simulations illustrate the theoretical analysis. For more information and the latex file, see https://ejde.math.txstate.edu/Volumes/2026/20/abstr.html
Fields of Study & Subjects
Mathematical and Theoretical Epidemiology and Ecology Models
Mathematical Biology Tumor Growth
Nonlinear Differential Equations Analysis
Publication details
- Journal / source
- Electronic Journal of Differential Equations
- Volume
- 2026
- Issue
- 01-??
- Pages
- 20–20
- Publication date
- 2 March 2026
- Language
- EN