On a generalized SVEIR epidemic model under regular and adaptive impulsive vaccination
Articles
Raul Nistal
University of the Basque Country, Spain
Manuel de la Sen
University of the Basque Country, Spain
Santiago Alonso-Quesada
University of the Basque Country, Spain
Asier Ibeas
Autonomous University of Barcelona, Spain
Published 2014-01-20
https://doi.org/10.15388/NA.2014.1.6
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Keywords

epidemic model
SVEIR
stability
vaccination
adaptive control
simulation

How to Cite

Nistal R., de la Sen M., Alonso-Quesada S. and Ibeas A. (2014) “On a generalized SVEIR epidemic model under regular and adaptive impulsive vaccination”, Nonlinear Analysis: Modelling and Control, 19(1), pp. 83-108. doi: 10.15388/NA.2014.1.6.

Abstract

A model for a generic disease with incubation and recovered stages is proposed. It incorporates a vaccinated subpopulation which presents a partial immunity to the disease. We study the stability, periodic solutions and impulsive vaccination design in the generalized modeled system for the dynamics and spreading of the disease under impulsive and non-impulsive vaccination. First, the effect of a regular impulsive vaccination on the evolution of the subpopulations is studied. Later a non-regular impulsive vaccination strategy is introduced based on an adaptive control law for the frequency and quantity of applied vaccines. We show the later strategy improves drastically the efficiency of the vaccines and reduce the infectious subpopulation more rapidly over time compared to a regular impulsive vaccination with constant values for both the frequency and vaccines quantity.

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