Abstract and Applied Analysis

Global Stability Results in a SVIR Epidemic Model with Immunity Loss Rate Depending on the Vaccine-Age

Raúl Peralta, Cruz Vargas-De-León, and Pedro Miramontes

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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.

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Abstr. Appl. Anal., Volume 2015 (2015), Article ID 341854, 8 pages.

First available in Project Euclid: 15 April 2015

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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. Abstr. Appl. Anal. 2015 (2015), Article ID 341854, 8 pages. doi:10.1155/2015/341854. https://projecteuclid.org/euclid.aaa/1429103747

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