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 | |
| Publication status | Published - Oct 1 2013 |
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ASJC Scopus subject areas
- Mathematics(all)
Cite this
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 proceeding › Chapter
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TY - CHAP
T1 - The geometric approach to global stability in behavioral epidemiology
AU - Buonomo, Bruno
AU - D'Onofrio, Alberto
AU - Lacitignola, Deborah
PY - 2013/10/1
Y1 - 2013/10/1
N2 - 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.
AB - 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.
UR - http://www.scopus.com/inward/record.url?scp=84894262228&partnerID=8YFLogxK
UR - http://www.scopus.com/inward/citedby.url?scp=84894262228&partnerID=8YFLogxK
U2 - 10.1007/978-1-4614-5474-8_18
DO - 10.1007/978-1-4614-5474-8_18
M3 - Chapter
AN - SCOPUS:84894262228
SN - 9781461454748
SN - 1461454735
SN - 9781461454731
SP - 289
EP - 308
BT - Modeling the Interplay Between Human Behavior and the Spread of Infectious Diseases
PB - Springer New York
ER -