Global dynamics of an SI epidemic model with nonlinear incidence rate, feedback controls and time delays

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Global dynamics of an SI epidemic model with nonlinear incidence rate, feedback controls and time delays

Guo, Ke; Ma, Wanbiao

Mathematical biosciences and engineering : MBE, 2021, Volume: 18, Issue: 1

Journal Article

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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Guo, Ke | Ma, Wanbiao

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