Oscillations and global attractivity in respiratory dynamics

Authors

K. Gopalsamy, University of Rhode Island
M. R.S. Kulenović, University of Rhode Island
G. Ladas, University of Rhode Island

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.