Global stability of an SIR epidemic model with information dependent vaccination.
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. [A. d'Onofrio, P. Manfredi, E. Salinelli, Vaccinating behavior, information, and the dynamics of SIR vaccine preventable diseases, Theor. Popul. Biol. 71 (2007) 301) 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.
Buonomo
Bruno
B
Department of Mathematics and Applications, University of Naples Federico II. Via Cintia, 1-80126 Naples, Italy. buonomo@unina.it
D'Onofrio
Alberto
A
Lacitignola
Deborah
D
D003141:Communicable Diseases / Q000453:epidemiology* / Q000276:immunology; D003198:Computer Simulation; D004196:Disease Outbreaks / Q000517:prevention & control*; D006801:Humans; D015233:Models, Statistical; D014611:Vaccination / Q000379:methods*