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A strategic model of material cycling in a closed ecosystem

Nisbet, R.M. and McKinstry, J. and Gurney, William (1983) A strategic model of material cycling in a closed ecosystem. Mathematical Biosciences, 64 (1). pp. 99-113. ISSN 0025-5564

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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.