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arXiv · 1802.03416

Global stability of a distributed delayed viral model with general incidence rate

Eric Ávila-Vales·Abraham Canul-Pech·Erika Rivero Esquivel
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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.

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Eric Ávila-Vales, Abraham Canul-Pech, Erika Rivero Esquivel. 2018-02-09. Global stability of a distributed delayed viral model with general incidence rate. https://arxiv.org/abs/1802.03416

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