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• W2078583460 abstract "We develop a mathematical model to monitor the effect of imperfectvaccines on the transmission dynamics of infectious diseases. It isassumed that the vaccine efficacy is not $100%$ and may wane withtime. The model will be analyzed using a new technique based on someresults related to the Poincaré index of a piecewise smooth Jordancurve defined as the boundary of a positively invariant region forthe model. Using global analysis of the model, it is shown thatreducing the basic reproductive number ($mathcal{R}_0$) to values less thanone no longer guarantees disease eradication. This analysis isextended to determine the threshold level of vaccination coveragethat guarantees disease eradication." @default.
• W2078583460 created "2016-06-24" @default.
• W2078583460 creator A5061218864 @default.
• W2078583460 date "2004-01-01" @default.
• W2078583460 modified "2023-10-13" @default.
• W2078583460 title "Modelling the effect of imperfect vaccines on disease epidemiology" @default.
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• W2078583460 doi "https://doi.org/10.3934/dcdsb.2004.4.999" @default.
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