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

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

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...

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Veröffentlicht in:Abstract and Applied Analysis 2015, Vol.2015 (2015), p.1547-1554
Hauptverfasser: Peralta, Raúl, Vargas-De-León, Cruz, Miramontes, Pedro
Format: Artikel
Sprache:eng
Schlagworte:
Immunity
Liapunov functions
Medical research
Medicine, Experimental
Mortality
Vaccination
Vaccines
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Zusammenfassung: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.
ISSN:1085-3375
1687-0409
DOI:10.1155/2015/341854