Global stability of an SIR epidemic model with information dependent vaccination

Mathematical Biosciences
Bruno BuonomoDeborah Lacitignola

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. [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.

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Citations

Aug 21, 2013·Journal of Biological Physics·Kunal ChakrabortyT K Kar
Nov 1, 2010·Journal of Biological Dynamics·Bruno Buonomo, Deborah Lacitignola
Jun 5, 2010·PLoS Computational Biology·Timothy C Reluga
Nov 12, 2013·Acta Biotheoretica·Prasanta Kumar MondalT K Kar
Apr 12, 2011·Journal of Theoretical Biology·Jianquan Li, Yali Yang
Sep 13, 2014·Computational and Mathematical Methods in Medicine·Ebenezer BonyahFarai Nyabadza
Oct 25, 2016·Physics of Life Reviews·Gui-Quan SunZhen Wang
Jun 14, 2017·Mathematical Biosciences and Engineering : MBE·Cruz Vargas-De-Leon, Alberto d'Onofrio
Feb 25, 2017·Bulletin of Mathematical Biology·José Martins, Alberto Pinto
Aug 25, 2020·Energy, Ecology & Environment·Anupam KhatuaYun Kang
May 22, 2020·European Physical Journal Plus·Reza Memarbashi, Elahe Sorouri
Aug 25, 2020·Journal of Applied Mathematics & Computing·Vinod Baniya, Ram Keval
Feb 11, 2021·PLoS Computational Biology·Ronan F ArthurMarcus W Feldman
Feb 9, 2021·Chaos, Solitons, and Fractals·Deborah Lacitignola, Giuseppe Saccomandi
Jul 15, 2021·Journal of Biological Dynamics·Arvind Kumar MisraMaia Martcheva
Aug 6, 2018··Evren HincalBilgen Kaymakamzade

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