We study the global behavior of a nonlinear SIR-like epidemic model with a non-bilinear feedback mechanism, which describes the influence of information, and of information-related delays, on a vaccination campaign. We upgrade the stability analysis performed in [d'Onofrio et al., Theor. Pop. Biol., 71, 2007] and, at same time, give a special example of application of the geometric method for global stability, due to M. Li and J. Muldowney. Numerical investigations are provided to show how the stability properties depend on the interplay between some relevant parameters of the model.
Global stability results for a SIR model with information dependent vaccination
LACITIGNOLA, Deborah
2008-01-01
Abstract
We study the global behavior of a nonlinear SIR-like epidemic model with a non-bilinear feedback mechanism, which describes the influence of information, and of information-related delays, on a vaccination campaign. We upgrade the stability analysis performed in [d'Onofrio et al., Theor. Pop. Biol., 71, 2007] and, at same time, give a special example of application of the geometric method for global stability, due to M. Li and J. Muldowney. Numerical investigations are provided to show how the stability properties depend on the interplay between some relevant parameters of the model.File in questo prodotto:
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