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The Geometric Approach to Global Stability in Behavioral Epidemiology

In: Modeling the Interplay Between Human Behavior and the Spread of Infectious Diseases

Author

Listed:
  • 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)

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.

Suggested Citation

  • Bruno Buonomo & Alberto d’Onofrio & Deborah Lacitignola, 2013. "The Geometric Approach to Global Stability in Behavioral Epidemiology," Springer Books, in: Piero Manfredi & Alberto D'Onofrio (ed.), Modeling the Interplay Between Human Behavior and the Spread of Infectious Diseases, edition 127, pages 289-308, Springer.
    • Handle: RePEc:spr:sprchp:978-1-4614-5474-8_18
    DOI: 10.1007/978-1-4614-5474-8_18
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