Title

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

Dynamics and Stability of Systems

Volume

4

Issue

2

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