The Geometric Approach to Global Stability in Behavioral Epidemiology

Bruno Buonomo (), Alberto d’Onofrio () and Deborah Lacitignola ()
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Bruno Buonomo: University of Naples Federico II, Department of Mathematics and Applications
Alberto d’Onofrio: European Institute of Oncology, Department of Experimental Oncology
Deborah Lacitignola: University of Cassino, Department of Electrical and Information Engineering

A chapter in Modeling the Interplay Between Human Behavior and the Spread of Infectious Diseases, 2013, pp 289-308 from Springer

Abstract: 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.

Keywords: Global Stability; Epidemic Model; Endemic Equilibrium; Basic Reproduction Number; Heteroclinic Cycle (search for similar items in EconPapers)
Date: 2013
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Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-1-4614-5474-8_18

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

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