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Epidemic dynamics model with delay and impulsive vaccination control base on variable population

Identifieur interne : 002322 ( Main/Merge ); précédent : 002321; suivant : 002323

Epidemic dynamics model with delay and impulsive vaccination control base on variable population

Auteurs : Zhihui Yang [République populaire de Chine] ; Hanmei Jia [République populaire de Chine]

Source :

RBID : ISTEX:0095F2452B1764DCF32D3E2577B461B06C775D59

English descriptors

Abstract

Pulse vaccination is an effective strategy for the elimination of infectious diseases. In this paper, we considered an SEIR epidemic model with delay and impulsive vaccination direct at a variable population and analyzed its dynamic behaviors. Using the discrete dynamical system determined by the stroboscopic map, we obtain the exact infection‐free periodic solution of the impulsive epidemic system, further, prove that the infection‐free periodic solution is globally attractive if the vaccination rate is larger than θ* or the length of latent period of disease is larger than τ* or the length of period of impulsive vaccination is smaller than T*. We also prove that a short latent period of the disease (with τ) or a long period of pulsing (with T) or a small pulse vaccination rate (with θ) is sufficient to bring about the disease is uniformly persistent. Copyright © 2011 John Wiley & Sons, Ltd.

Url:
DOI: 10.1002/mma.1481

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<term>Capita birth rate</term>
<term>Comparison theorem</term>
<term>Computer modelling</term>
<term>Copyright</term>
<term>Epidemic model</term>
<term>Fourth equations</term>
<term>Global</term>
<term>Global attractivity</term>
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<term>Hethcote</term>
<term>Immune responses</term>
<term>Impulsive</term>
<term>Impulsive vaccination</term>
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<term>Latent period</term>
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<term>Mathematical biosciences</term>
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<term>Seir model</term>
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<term>Uncountable intervals</term>
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<term>Vaccination campaign</term>
<term>Vaccination effort</term>
<term>Vaccination rate</term>
<term>Vaccination strategy</term>
<term>Vaccine</term>
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