Mathematical Biosciences and Engineering (Apr 2021)
Global dynamics of an SI epidemic model with nonlinear incidence rate, feedback controls and time delays
Abstract
In this paper, we consider a class of SI epidemic model with nonlinear incidence, feedback controls and four different discrete time delays. By skillfully constructing appropriate Lyapunov functionals, and combining Lyapunov-LaSalle invariance principle and Barbalat's lemma, the global dynamics of the model are established. Our results extend and improve related works in the existing literatures.
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