The geometric approach to global stability in behavioral epidemiology

Bruno Buonomo; Alberto D'Onofrio; Deborah Lacitignola

doi:10.1007/978-1-4614-5474-8_18

The geometric approach to global stability in behavioral epidemiology

Bruno Buonomo, Alberto D'Onofrio, Deborah Lacitignola

Istituto Europeo di Oncologia

Research output: Chapter in Book/Report/Conference proceeding › Chapter

Abstract

Three behavioral-epidemic models (i.e., epidemic systems including feedbacks (FB) that the information about an infectious disease has on its spreading) are introduced. Two relevant FB are explicitly considered: the pseudo-rational exemption to vaccination and the information-related changes in contact patterns by healthy subjects. The global stability analysis of the endemic states is performed by means of the geometric approach to stability, with particular focus on a model of vaccination of adult susceptible subjects. Biological implications of the results are discussed.

Original language	English
Title of host publication	Modeling the Interplay Between Human Behavior and the Spread of Infectious Diseases
Publisher	Springer New York
Pages	289-308
Number of pages	20
ISBN (Print)	9781461454748, 1461454735, 9781461454731
DOIs	https://doi.org/10.1007/978-1-4614-5474-8_18
Publication status	Published - Oct 1 2013

ASJC Scopus subject areas

Mathematics(all)

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The geometric approach to global stability in behavioral epidemiology

Abstract

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