On the periodic solutions of a generalized SVEIR model under impulsive vaccination

Raul Nistal; Manuel de la Sen; Santiago Alonso-Quesada; Asier Ibeas

doi:https://doi.org/10.12988/ams.2014.312714

On the periodic solutions of a generalized SVEIR model under impulsive vaccination

Raul Nistal, Manuel de la Sen, Santiago Alonso-Quesada, Asier Ibeas

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Abstract

A SVEIR model with delays is proposed with an impulsive vaccination applied at time instants regularly distributed. In this paper we present an analytic solution for the disease free periodic state derived from this model and demonstrate the uniqueness of the obtained solution. A more general model which shares this periodic solution is proposed. © 2014 Raul Nistal et al.

Original language	English
Pages (from-to)	701-715
Journal	Applied Mathematical Sciences
Volume	8
DOIs	https://doi.org/10.12988/ams.2014.312714
Publication status	Published - 11 Feb 2014

Keywords

Epidemic Model
SVEIR
Vaccination

UN SDGs

This output contributes to the following UN Sustainable Development Goals (SDGs)

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https://doi.org/10.12988/ams.2014.312714

Cite this

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title = "On the periodic solutions of a generalized SVEIR model under impulsive vaccination",

abstract = "A SVEIR model with delays is proposed with an impulsive vaccination applied at time instants regularly distributed. In this paper we present an analytic solution for the disease free periodic state derived from this model and demonstrate the uniqueness of the obtained solution. A more general model which shares this periodic solution is proposed. {\textcopyright} 2014 Raul Nistal et al.",

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AU - Nistal, Raul

AU - de la Sen, Manuel

AU - Alonso-Quesada, Santiago

AU - Ibeas, Asier

PY - 2014/2/11

Y1 - 2014/2/11

N2 - A SVEIR model with delays is proposed with an impulsive vaccination applied at time instants regularly distributed. In this paper we present an analytic solution for the disease free periodic state derived from this model and demonstrate the uniqueness of the obtained solution. A more general model which shares this periodic solution is proposed. © 2014 Raul Nistal et al.

AB - A SVEIR model with delays is proposed with an impulsive vaccination applied at time instants regularly distributed. In this paper we present an analytic solution for the disease free periodic state derived from this model and demonstrate the uniqueness of the obtained solution. A more general model which shares this periodic solution is proposed. © 2014 Raul Nistal et al.

KW - Epidemic Model

KW - SVEIR

KW - Vaccination

U2 - https://doi.org/10.12988/ams.2014.312714

DO - https://doi.org/10.12988/ams.2014.312714

M3 - Article

VL - 8

SP - 701

EP - 715

JO - Applied Mathematical Sciences

JF - Applied Mathematical Sciences

SN - 1312-885X

ER -

On the periodic solutions of a generalized SVEIR model under impulsive vaccination

Abstract

Keywords

UN SDGs

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