Global analysis of an infection age SEI model with a large class of nonlinear incidence rates

Sofiane Bentout; Tarik Mohamed Touaoula

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arXiv · 1708.05726

Global analysis of an infection age SEI model with a large class of nonlinear incidence rates

Sofiane Bentout·Tarik Mohamed Touaoula

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Abstract

We propose and investigate an SEI infection's age model with a general class of nonlinear incidence rates. We give a necessary and sufficient condition for global asymptotic stability of the free-equilibrium related to the basic reproduction number. By using Lyapunov functionals, we show the global asymptotic stability of the endemic equilibrium whenever it exists.

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Sofiane Bentout, Tarik Mohamed Touaoula. 2017-08-18. Global analysis of an infection age SEI model with a large class of nonlinear incidence rates. https://arxiv.org/abs/1708.05726

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