A SVEIR model with Imperfect Vaccine

Philippe Adda 1 L. Nkague Nkambaa 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.
Type de document :
Communication dans un congrès
CMPD 3 Conference on Computational and Mathematical Population Dynamics, May 2010, Bordeaux, France. 2010, 〈http://www.sm.u-bordeaux2.fr/CMPD3/abstracts_book.pdf〉
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https://hal.inria.fr/hal-00764764
Contributeur : Gauthier Sallet <>
Soumis le : jeudi 13 décembre 2012 - 12:05:58
Dernière modification le : jeudi 22 novembre 2018 - 14:26:57

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  • HAL Id : hal-00764764, version 1

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Philippe Adda, L. Nkague Nkambaa, Gauthier Sallet, Lorenzo Castelli. A SVEIR model with Imperfect Vaccine. CMPD 3 Conference on Computational and Mathematical Population Dynamics, May 2010, Bordeaux, France. 2010, 〈http://www.sm.u-bordeaux2.fr/CMPD3/abstracts_book.pdf〉. 〈hal-00764764〉

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