Oscillations and global attractivity in respiratory dynamics
Date of Original Version
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.
Dynamics and Stability of Systems
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.