Global Dynamics of an SVEIR Model with Age-Dependent Vaccination, Infection, and Latency
Joint Authors
M’pika Massoukou, Rodrigue Yves
Guiem, Richard
Oukouomi Noutchie, Suares Clovis
Source
Issue
Vol. 2018, Issue 2018 (31 Dec. 2018), pp.1-21, 21 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2018-08-14
Country of Publication
Egypt
No. of Pages
21
Main Subjects
Abstract EN
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 R0.
American Psychological Association (APA)
M’pika Massoukou, Rodrigue Yves& Oukouomi Noutchie, Suares Clovis& Guiem, Richard. 2018. Global Dynamics of an SVEIR Model with Age-Dependent Vaccination, Infection, and Latency. Abstract and Applied Analysis،Vol. 2018, no. 2018, pp.1-21.
https://search.emarefa.net/detail/BIM-1114303
Modern Language Association (MLA)
M’pika Massoukou, Rodrigue Yves…[et al.]. Global Dynamics of an SVEIR Model with Age-Dependent Vaccination, Infection, and Latency. Abstract and Applied Analysis No. 2018 (2018), pp.1-21.
https://search.emarefa.net/detail/BIM-1114303
American Medical Association (AMA)
M’pika Massoukou, Rodrigue Yves& Oukouomi Noutchie, Suares Clovis& Guiem, Richard. Global Dynamics of an SVEIR Model with Age-Dependent Vaccination, Infection, and Latency. Abstract and Applied Analysis. 2018. Vol. 2018, no. 2018, pp.1-21.
https://search.emarefa.net/detail/BIM-1114303
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1114303