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On a delayed epidemic model with non-instantaneous impulses

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    *Corresponding author. 

Dedicated to professor Tomás Caraballo on the occasion of his 60th birthday

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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 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.

    Mathematics Subject Classification: Primary: 34A37, 92C60.


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  • Figure 1.  Simulation with $ R^*<1 $, infection-free solution

    Figure 2.  Simulation with $ R_*>1 $, permanence of infected population

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