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Open Access Green möglich sobald Postprint bei der ZB eingereicht worden ist.
Global Hopf bifurcation for differential equations with multiple threshold-type state-dependent delays.
Math. Meth. Appl. Sci. 47, 1065-1094 (2024)
Using the (Formula presented.) -equivariant degree, we develop a global Hopf bifurcation theory for system of differential equations with multiple threshold-type state-dependent delays whose prototype is the human respiratory system with multiple blood transport time delays. To establish a theoretic framework for modeling practices of periodic breathing, we further investigate the periodic oscillations of carbon dioxide concentrations in the lung, brain, and tissue compartments and conduct a local and global Hopf bifurcation analysis for the model when varying the commensurate scale of the multiple delays in a transformed system. Such a global Hopf bifurcation will indicate the onset and persistence of the periodic oscillations.
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Publikationstyp
Artikel: Journalartikel
Dokumenttyp
Review
Schlagwörter
Global Hopf Bifurcation ; Multiple Threshold-type State-dependent Delays ; Respiratory System ; S1 {s}^1 -equivariant Degree; Control-system; Responses; Instability; Stability
ISSN (print) / ISBN
0170-4214
e-ISSN
1099-1476
Zeitschrift
Mathematical Methods in the Applied Sciences
Quellenangaben
Band: 47,
Heft: 2,
Seiten: 1065-1094
Verlag
Wiley
Verlagsort
111 River St, Hoboken 07030-5774, Nj Usa
Nichtpatentliteratur
Publikationen
Begutachtungsstatus
Peer reviewed
Institut(e)
Institute of Computational Biology (ICB)
Förderungen
The authors declare no potential conflict of interest.