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 0025-5564Full text not available in this repository. (Request a copy from the Strathclyde author)
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.
|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|
|Depositing user:||Pure Administrator|
|Date Deposited:||19 Oct 2012 19:59|
|Last modified:||22 Jul 2016 03:05|