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On a delayed epidemic model with non-instantaneous impulses

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We introduce a non-instantaneous pulse vaccination model. Non-instantaneous impulsive nonlinear differential equations provide an adequate biomathematical model of some medical problems. In this paper we study some basic properties such… Click to show full abstract

We introduce a non-instantaneous pulse vaccination model. Non-instantaneous impulsive nonlinear differential equations provide an adequate biomathematical model of some medical problems. In this paper we study some basic properties such as the attractiveness of the infection-free periodic solution and the permanence of some sub-population for a vaccine model where a constant fraction of the susceptible population is vaccinated in some periodic way. Our model is a system of nonlinear differential equations with impulses.

Keywords: model non; epidemic model; model; instantaneous impulses; delayed epidemic; non instantaneous

Journal Title: Communications on Pure and Applied Analysis
Year Published: 2020

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