The geometric approach to global stability in behavioral epidemiology

Bruno Buonomo, Alberto D'Onofrio, Deborah Lacitignola

Research output: Chapter in Book/Report/Conference proceedingChapter

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 languageEnglish
Title of host publicationModeling the Interplay Between Human Behavior and the Spread of Infectious Diseases
PublisherSpringer New York
Pages289-308
Number of pages20
ISBN (Print)9781461454748, 1461454735, 9781461454731
DOIs
Publication statusPublished - Oct 1 2013

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Vaccination
Geometric Approach
Epidemiology
Global Stability
Global Analysis
Infectious Diseases
Epidemic Model
Feedback Systems
Stability Analysis
Contact
Model

ASJC Scopus subject areas

  • Mathematics(all)

Cite this

Buonomo, B., D'Onofrio, A., & Lacitignola, D. (2013). The geometric approach to global stability in behavioral epidemiology. In Modeling the Interplay Between Human Behavior and the Spread of Infectious Diseases (pp. 289-308). Springer New York. https://doi.org/10.1007/978-1-4614-5474-8_18

The geometric approach to global stability in behavioral epidemiology. / Buonomo, Bruno; D'Onofrio, Alberto; Lacitignola, Deborah.

Modeling the Interplay Between Human Behavior and the Spread of Infectious Diseases. Springer New York, 2013. p. 289-308.

Research output: Chapter in Book/Report/Conference proceedingChapter

Buonomo, B, D'Onofrio, A & Lacitignola, D 2013, The geometric approach to global stability in behavioral epidemiology. in Modeling the Interplay Between Human Behavior and the Spread of Infectious Diseases. Springer New York, pp. 289-308. https://doi.org/10.1007/978-1-4614-5474-8_18
Buonomo B, D'Onofrio A, Lacitignola D. The geometric approach to global stability in behavioral epidemiology. In Modeling the Interplay Between Human Behavior and the Spread of Infectious Diseases. Springer New York. 2013. p. 289-308 https://doi.org/10.1007/978-1-4614-5474-8_18
Buonomo, Bruno ; D'Onofrio, Alberto ; Lacitignola, Deborah. / The geometric approach to global stability in behavioral epidemiology. Modeling the Interplay Between Human Behavior and the Spread of Infectious Diseases. Springer New York, 2013. pp. 289-308
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