Global stability of a distributed delayed viral model with general incidence rate
Eric \'Avila-Vales, Abraham Canul-Pech, Erika Rivero Esquivel
TL;DR
This paper analyzes a complex delayed viral infection model with nonlinear immune response, establishing conditions for the global stability of various equilibria through mathematical proofs and numerical simulations.
Contribution
It introduces a novel analysis of a distributed delayed viral model with general incidence rate, proving stability conditions for multiple equilibria.
Findings
Global stability conditions for infection-free equilibrium
Global stability conditions for immune-exhausted equilibrium
Global stability conditions for endemic equilibrium
Abstract
In this paper, we discussed an infinitely distributed delayed viral infection model with nonlinear immune response and general incidence rate. We proved the existence and uniqueness of the equilibria. By using the Lyapunov functional and LaSalle invariance principle, we obtained the conditions of global stabilities of the infection-free equilibrium, the immune-exhausted equilibrium and the endemic equilibrium. Numerical simulations are given to verify the analytical results.
Peer Reviews
No public reviews on file for this paper yet. If you reviewed it on a platform where reviews are public (OpenReview, ICLR, NeurIPS, ICML), you can paste yours below so the community can read it here.
Videos
No videos yet. Explain this paper in a talk, walkthrough, or lecture? Add one.