Open Access

On monotonicity of solutions of discrete-time nonnegative and compartmental dynamical systems

  • Vijay Sekhar Chellaboina1Email author,
  • Wassim M Haddad2,
  • James M Bailey3 and
  • Jayanthy Ramakrishnan1
Advances in Difference Equations20042004:532048

DOI: 10.1155/S1687183904310095

Received: 27 October 2003

Published: 12 July 2004

Abstract

Nonnegative and compartmental dynamical system models are widespread in biological, physiological, and pharmacological sciences. Since the state variables of these systems are typically masses or concentrations of a physical process, it is of interest to determine necessary and sufficient conditions under which the system states possess monotonic solutions. In this paper, we present necessary and sufficient conditions for identifying discrete-time nonnegative and compartmental dynamical systems that only admit monotonic solutions.

Authors’ Affiliations

(1)
Department Mechanical and Aerospace Engineering, University of Missouri-Columbia
(2)
School of Aerospace Engineering, Georgia Institute of Technology
(3)
Department of Anesthesiology, Northeast Georgia Medical Center

Copyright

© Chellaboina et al. 2004