Existence and global attractivity of a positive periodic solution of a delayed periodic respiration model

DOI10.1016/j.camwa.2004.11.005zbMath1100.34055OpenAlexW2050828694MaRDI QIDQ2485498

Li-Hong Huang, Yuming Chen

Publication date: 5 August 2005

Published in: Computers \& Mathematics with Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.camwa.2004.11.005

zbMATH Keywords

global attractivityperiodic solutiondelay differential equationcoincidence degreerespiratory dynamics

Mathematics Subject Classification ID

Dynamical systems in biology (37N25) Stability theory of functional-differential equations (34K20) Physiology (general) (92C30) Periodic solutions to functional-differential equations (34K13)

Related Items (6)

Existence and global attractivity of unique positive periodic solution for a model of hematopoiesis ⋮ Almost periodic oscillations in a generalized Mackey–Glass model of respiratory dynamics with several delays ⋮ Existence and multiplicity of periodic solutions for a generalized hematopoiesis model ⋮ Periodic solutions in general scalar non-autonomous models with delays ⋮ The Mackey-Glass model of respiratory dynamics: review and new results ⋮ Global exponential stability for the Mackey-Glass model of respiratory dynamics with a control term

Cites Work

• Ordinary differential equations with nonlinear boundary conditions
• Oscillation and global attractivity in a nonlinear delay periodic model of respiratory dynamics.
• Oscillation and stability in nonlinear delay differential equations of population dynamics.
• Oscillation and Chaos in Physiological Control Systems
• Oscillations and global attractivity in respiratory dynamics
• Periodic solutions of periodic delay Lotka-Volterra equations and systems
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