Oscillations and global attractivity in respiratory dynamics
Document Type
Article
Date of Original Version
1-1-1989
Abstract
Let x(t) denote the arterial concentration of CO2. Mackey and Glass (1977) have proposed that x(t) is governed by the autonomous delay differential equation [formula omitted] where r, β, θ are positive parameters, r is a non-negative delay and Vmdenotes the maximum ‘ventilation’ rate of CO2. We obtain sufficient and also necessary and sufficient conditions for all positive solutions of (*) to oscillate about the positive equilibrium x* of (*). We also obtain sufficient conditions for x* to be a global attractor. © 1989, Taylor & Francis Group, LLC. All rights reserved.
Publication Title, e.g., Journal
Dynamics and Stability of Systems
Volume
4
Issue
2
Citation/Publisher Attribution
Gopalsamy, K., M. R. Kulenović, and G. Ladas. "Oscillations and global attractivity in respiratory dynamics." Dynamics and Stability of Systems 4, 2 (1989): 131-139. doi: 10.1080/02681118908806068.
