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2018 Global Dynamics of an SVEIR Model with Age-Dependent Vaccination, Infection, and Latency
Rodrigue Yves M’pika Massoukou, Suares Clovis Oukouomi Noutchie, Richard Guiem
Abstr. Appl. Anal. 2018: 1-21 (2018). DOI: 10.1155/2018/8479638

Abstract

Vaccine-induced protection is substantial to control, prevent, and reduce the spread of infectious diseases and to get rid of infectious diseases. In this paper, we propose an SVEIR epidemic model with age-dependent vaccination, latency, and infection. The model also considers that the waning vaccine-induced immunity depends on vaccination age and the vaccinated individuals fall back to the susceptible class after losing immunity. The model is a coupled system of (hyperbolic) partial differential equations with ordinary differential equations. The global dynamics of the model is established through construction of appropriate Lyapunov functionals and application of Lasalle’s invariance principle. As a result, the global stability of the infection-free equilibrium and endemic equilibrium is obtained and is fully determined by the basic reproduction number R 0 .

Citation

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Rodrigue Yves M’pika Massoukou. Suares Clovis Oukouomi Noutchie. Richard Guiem. "Global Dynamics of an SVEIR Model with Age-Dependent Vaccination, Infection, and Latency." Abstr. Appl. Anal. 2018 1 - 21, 2018. https://doi.org/10.1155/2018/8479638

Information

Received: 9 April 2018; Revised: 26 June 2018; Accepted: 18 July 2018; Published: 2018
First available in Project Euclid: 19 September 2018

zbMATH: 07029296
MathSciNet: MR3847504
Digital Object Identifier: 10.1155/2018/8479638

Rights: Copyright © 2018 Hindawi

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