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Modelling an Aquaponic Ecosystem Using Ordinary Differential Equations

In: Mathematical and Computational Approaches in Advancing Modern Science and Engineering

Author

Listed:
  • C. Bobak

    (University of Guelph, Department of Mathematics and Statistics)

  • H. Kunze

    (University of Guelph, Department of Mathematics and Statistics)

Abstract

Aquaponic agriculture Aquaponic agriculture is a sustainable system which uses interdependent processes and has been growing in popularity. However, relatively little mathematical and other academic research has been conducted in the practice. In this paper, we develop a system of ordinary differential equations Ordinary differential equations (ODE) to model Mathematical model the population and concentration dynamics Population dynamics of the environment. Our model has an asymptotically stable non-trivial equilibrium, representing the inherent symbiotic relationship of the variables. Values of the nine parameters in the system are estimated from the research literature. We provide simulated results simulated results to illustrate the nature of solutions to the system, and we present and discuss a sensitivity analysis Sensitivity analysis .

Suggested Citation

  • C. Bobak & H. Kunze, 2016. "Modelling an Aquaponic Ecosystem Using Ordinary Differential Equations," Springer Books, in: Jacques Bélair & Ian A. Frigaard & Herb Kunze & Roman Makarov & Roderick Melnik & Raymond J. Spiteri (ed.), Mathematical and Computational Approaches in Advancing Modern Science and Engineering, pages 189-196, Springer.
    • Handle: RePEc:spr:sprchp:978-3-319-30379-6_18
    DOI: 10.1007/978-3-319-30379-6_18
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