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Advances in Continuous and Discrete Models

Theory and Modern Applications

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

Advances in Difference Equations volume 2004, Article number: 532048 (2004) Cite this article

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.

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Authors and Affiliations

  1. Department Mechanical and Aerospace Engineering, University of Missouri-Columbia, Columbia, MO, 65211, USA

    Vijay Sekhar Chellaboina & Jayanthy Ramakrishnan

  2. School of Aerospace Engineering, Georgia Institute of Technology, Atlanta, GA, 30332-0150, USA

    Wassim M Haddad

  3. Department of Anesthesiology, Northeast Georgia Medical Center, Gainesville, GA, 30503, USA

    James M Bailey

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  1. Vijay Sekhar Chellaboina
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  2. Wassim M Haddad
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  3. James M Bailey
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  4. Jayanthy Ramakrishnan
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Correspondence to Vijay Sekhar Chellaboina.

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Chellaboina, V.S., Haddad, W.M., Bailey, J.M. et al. On monotonicity of solutions of discrete-time nonnegative and compartmental dynamical systems. Adv Differ Equ 2004, 532048 (2004). https://doi.org/10.1155/S1687183904310095

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  • DOI: https://doi.org/10.1155/S1687183904310095