A strategic model of material cycling in a closed ecosystem

R.M. Nisbet, J. McKinstry, William Gurney

Research output: Contribution to journal › Article

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Abstract

The aim of this paper is to reconcile the observed vulnerability of self-sustaining (materially closed) experimental ecosystems with demonstrations of virtually unconditional stability in mathematical models incorporating material recycling. We prove deterministic local stability in a generalized version of a model previously investigated by two of us (Nisbet and Gurney), but show that, except with rather narrowly specified parameter values, the system is likely to be extremely sensitive to external perturbations.
LanguageEnglish
Pages99-113
Number of pages15
JournalMathematical Biosciences
Volume64
Issue number1
DOIs
Publication statusPublished - May 1983

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Stretchers
Unconditional Stability
Recycling
Cycling
Local Stability
Ecosystem
Vulnerability
Ecosystems
recycling
Theoretical Models
mathematical models
Likely
Mathematical Model
Perturbation
Closed
ecosystems
Demonstrations
Mathematical models
Model

Keywords

  • experimental ecosystems
  • unconditional stability
  • local stability

Cite this

Nisbet, R.M. ; McKinstry, J. ; Gurney, William. / A strategic model of material cycling in a closed ecosystem. In: Mathematical Biosciences. 1983 ; Vol. 64, No. 1. pp. 99-113.
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Nisbet, RM, McKinstry, J & Gurney, W 1983, 'A strategic model of material cycling in a closed ecosystem' Mathematical Biosciences, vol. 64, no. 1, pp. 99-113. https://doi.org/10.1016/0025-5564(83)90030-5

A strategic model of material cycling in a closed ecosystem. / Nisbet, R.M. ; McKinstry, J.; Gurney, William.

In: Mathematical Biosciences, Vol. 64, No. 1, 05.1983, p. 99-113.

Research output: Contribution to journal › Article

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AB - The aim of this paper is to reconcile the observed vulnerability of self-sustaining (materially closed) experimental ecosystems with demonstrations of virtually unconditional stability in mathematical models incorporating material recycling. We prove deterministic local stability in a generalized version of a model previously investigated by two of us (Nisbet and Gurney), but show that, except with rather narrowly specified parameter values, the system is likely to be extremely sensitive to external perturbations.

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Nisbet RM, McKinstry J, Gurney W. A strategic model of material cycling in a closed ecosystem. Mathematical Biosciences. 1983 May;64(1):99-113. https://doi.org/10.1016/0025-5564(83)90030-5

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