We study the global behavior of a non-linear susceptible-infectious-removed (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. Popul. Biol., 71, 2007) and, at same time, give a special example of application of the geometric method for global stability, due to Li and Muldowney. Numerical investigations are provided to show how the stability properties depend on the interplay between some relevant parameters of the model.
Global stability of an SIR epidemic model with information dependent vaccination / Buonomo, Bruno; A., D'Onofrio; D., Lacitignola. - In: MATHEMATICAL BIOSCIENCES. - ISSN 0025-5564. - STAMPA. - 216:(2008), pp. 9-16. [10.1016/j.mbs.2008.07.011]
Global stability of an SIR epidemic model with information dependent vaccination
BUONOMO, BRUNO;
2008
Abstract
We study the global behavior of a non-linear susceptible-infectious-removed (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. Popul. Biol., 71, 2007) and, at same time, give a special example of application of the geometric method for global stability, due to Li and Muldowney. Numerical investigations are provided to show how the stability properties depend on the interplay between some relevant parameters of the model.| File | Dimensione | Formato | |
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