Summary: We study the global behavior of a nonlinear 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 by A. d’Onofrio, P. Manfredi
and E. Salinelli
[Vaccinating behavior, information, and the dynamics of SIR vaccine preventable diseases. Theor. Popul. Biol. 71, No. 3, 301–317 (2007; Zbl 1124.92029
)] and give a special example of the application of the geometric method for global stability, due to M. Y. Li
and J. S. Muldowney
[SIAM J. Math. Anal. 27, No. 4, 1070-1083 (1996; Zbl 0873.34041
)]. Numerical investigations are provided to show how the stability properties depend on the interplay between some relevant parameters of the model.