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

Abstract and Applied Analysis, 2015, vol. 2015, 1-8

Abstract:

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.

Date: 2015
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jnlaaa:341854

DOI: 10.1155/2015/341854

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