Stability, instability in delay equations modeling human respiration

DOI10.1007/BF00573459zbMath0807.92007WikidataQ52385143 ScholiaQ52385143MaRDI QIDQ1336373

Janos Turi, Kenneth L. Cooke

Publication date: 26 February 1995

Published in: Journal of Mathematical Biology (Search for Journal in Brave)

zbMATH Keywords

delay equationsrespiratory control modeltransport delays

Mathematics Subject Classification ID

Differential games and control (49N70) Stability theory of functional-differential equations (34K20) Physiology (general) (92C30) Pursuit and evasion games (49N75)

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Parameter Identification in a Respiratory Control System Model with Delay, A low-cost computational method for solving nonlinear fractional delay differential equations, Global Hopf bifurcation for differential equations with multiple threshold‐type state‐dependent delays, Dynamics of digitally controlled forced vibration of suspended cables, Time delay in physiological systems: analyzing and modeling its impact, Application of the hybrid functions to solve neutral delay functional differential equations, Linear stability of delayed reaction-diffusion systems, Stability of three-parameter systems of two linear differential equations with delay. I, Oxygen therapy for management of periodic breathing : a theoretical approach, Legendre wavelet collocation method combined with the Gauss-Jacobi quadrature for solving fractional delay-type integro-differential equations, Delay equation analysis of human respiratory stability

Cites Work

• Differential-difference equations
• Discrete delay, distributed delay and stability switches
• Theory of functional differential equations. 2nd ed
• Oscillation and Chaos in Physiological Control Systems
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