Global stability of a distributed delayed viral model with general incidence rate
Dynamical Systems
2018-02-13 v1
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.
Keywords
Cite
@article{arxiv.1802.03416,
title = {Global stability of a distributed delayed viral model with general incidence rate},
author = {Eric Ávila-Vales and Abraham Canul-Pech and Erika Rivero Esquivel},
journal= {arXiv preprint arXiv:1802.03416},
year = {2018}
}
Comments
19 pages, 4 figures