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Global Stability Results in a SVIR Epidemic Model with Immunity Loss Rate Depending on the Vaccine-Age
Joint Authors
Vargas-De-León, Cruz
Peralta, Raúl
Miramontes, Pedro
Source
Issue
Vol. 2015, Issue 2015 (31 Dec. 2015), pp.1-8, 8 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2015-02-01
Country of Publication
Egypt
No. of Pages
8
Main Subjects
Abstract EN
We formulate a susceptible-vaccinated-infected-recovered (SVIR) model by incorporating the vaccination of newborns, vaccine-age, and mortality induced by the disease into the SIR epidemic model.
It is assumed that the period of immunity induced by vaccines varies depending on the vaccine-age.
Using the direct Lyapunov method with Volterra-type Lyapunov function, we show the global asymptotic stability of the infection-free and endemic steady states.
American Psychological Association (APA)
Peralta, Raúl& Vargas-De-León, Cruz& Miramontes, Pedro. 2015. Global Stability Results in a SVIR Epidemic Model with Immunity Loss Rate Depending on the Vaccine-Age. Abstract and Applied Analysis،Vol. 2015, no. 2015, pp.1-8.
https://search.emarefa.net/detail/BIM-1052019
Modern Language Association (MLA)
Peralta, Raúl…[et al.]. Global Stability Results in a SVIR Epidemic Model with Immunity Loss Rate Depending on the Vaccine-Age. Abstract and Applied Analysis No. 2015 (2015), pp.1-8.
https://search.emarefa.net/detail/BIM-1052019
American Medical Association (AMA)
Peralta, Raúl& Vargas-De-León, Cruz& Miramontes, Pedro. Global Stability Results in a SVIR Epidemic Model with Immunity Loss Rate Depending on the Vaccine-Age. Abstract and Applied Analysis. 2015. Vol. 2015, no. 2015, pp.1-8.
https://search.emarefa.net/detail/BIM-1052019
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1052019