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

2017/08/18 by Bentout, Sofiane, Tarik Mohammed Touaoula, Touaoula, Tarik Mohamed
Medicine · Mathematics · Biochemistry, Genetics and Molecular Biology · #Mathematical and Theoretical Epidemiology and Ecology Models #COVID-19 epidemiological studies #Evolution and Genetic Dynamics

paper · pdf · doi:10.48550/arxiv.1708.05726

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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