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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.

Item type: Article
ID code: 41616
Keywords: experimental ecosystems, unconditional stability, local stability, Probabilities. Mathematical statistics, Agricultural and Biological Sciences(all), Biochemistry, Genetics and Molecular Biology(all), Modelling and Simulation, Applied Mathematics, Statistics and Probability, Immunology and Microbiology(all), Medicine(all)
Subjects: Science > Mathematics > Probabilities. Mathematical statistics
Department: Faculty of Science > Mathematics and Statistics
Related URLs:
    Depositing user: Pure Administrator
    Date Deposited: 19 Oct 2012 20:59
    Last modified: 05 Sep 2014 18:23
    URI: http://strathprints.strath.ac.uk/id/eprint/41616

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