Global stability results in a SVIR epidemic model with immunity loss rate depending on the vaccine-age

Raúl Peralta; Cruz Vargas-De-León; Pedro Miramontes

doi:10.1155/2015/341854

Global stability results in a SVIR epidemic model with immunity loss rate depending on the vaccine-age

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

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9 Citas (Scopus)

Resumen

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.

Idioma original	Inglés
Número de artículo	341854
Publicación	Abstract and Applied Analysis
Volumen	2015
DOI	https://doi.org/10.1155/2015/341854
Estado	Publicada - 2015
Publicado de forma externa	Sí

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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.",

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AB - 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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Global stability results in a SVIR epidemic model with immunity loss rate depending on the vaccine-age

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