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  • Research Article
  • Open Access

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

  • 1Email author,
  • 2,
  • 3 and
  • 1
Advances in Difference Equations20042004:532048

  • Received: 27 October 2003
  • Published:


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

Department Mechanical and Aerospace Engineering, University of Missouri-Columbia, Columbia, MO 65211, USA
School of Aerospace Engineering, Georgia Institute of Technology, Atlanta, GA 30332-0150, USA
Department of Anesthesiology, Northeast Georgia Medical Center, Gainesville, GA 30503, USA


© Chellaboina et al. 2004