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A SVEIR model with Imperfect Vaccine

Philippe Adda 1 Léontine Nkague Nkamba 1 Gauthier Sallet 1, 2 Lorenzo Castelli 3
1 MASAIE - Tools and models of nonlinear control theory for epidemiology and immunology
LMAM - Laboratoire de Mathématiques et Applications de Metz, Inria Nancy - Grand Est, IECL - Institut Élie Cartan de Lorraine
2 Laboratoire et Département de Mathématiques,
UMMISCO - Unité de modélisation mathématique et informatique des systèmes complexes [Bondy]
Abstract : We consider a SVEIR model with standard mass action and differential death rates for each compartment, susceptible individuals S, vaccinated V , exposed E, infectious I and permanently removed R. The susceptible population is increased by the net in-flow (recruitment) of individuals into the region, either by birth or immigration. We assume that a proportion of newborn are vaccinated at birth, the remainder enter the S compartment. Each subpopulation is decreased by death, the death rate being specific to each compartment. Susceptible individuals (regardless of whether they have been previously vaccinated) are further vaccinated at the rate p.
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https://hal.inria.fr/hal-00764764
Contributor : Gauthier Sallet <>
Submitted on : Thursday, December 13, 2012 - 12:05:58 PM
Last modification on : Wednesday, May 12, 2021 - 4:28:03 PM

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  • HAL Id : hal-00764764, version 1

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Philippe Adda, Léontine Nkague Nkamba, Gauthier Sallet, Lorenzo Castelli. A SVEIR model with Imperfect Vaccine. CMPD 3 Conference on Computational and Mathematical Population Dynamics, May 2010, Bordeaux, France. ⟨hal-00764764⟩

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