Abstract
| Original language | English |
|---|---|
| Pages (from-to) | 99-113 |
| Number of pages | 15 |
| Journal | Mathematical Biosciences |
| Volume | 64 |
| Issue number | 1 |
| DOIs | |
| Publication status | Published - May 1983 |
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Keywords
- experimental ecosystems
- unconditional stability
- local stability
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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
TY - JOUR
T1 - A strategic model of material cycling in a closed ecosystem
AU - Nisbet, R.M.
AU - McKinstry, J.
AU - Gurney, William
PY - 1983/5
Y1 - 1983/5
N2 - 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.
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.
KW - experimental ecosystems
KW - unconditional stability
KW - local stability
U2 - 10.1016/0025-5564(83)90030-5
DO - 10.1016/0025-5564(83)90030-5
M3 - Article
VL - 64
SP - 99
EP - 113
JO - Mathematical Biosciences
JF - Mathematical Biosciences
SN - 0025-5564
IS - 1
ER -