Abstract
ROBERTS1 added a new dimension to the stability analysis of model ecosystems—feasibility, the requirement that equilibrium densities of species be positive. Previous work2–4 studied the stability of randomly constructed interaction matrices, S, which represented ecological interactions in the neighbourhood of an assumed feasible equilibrium point.
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References
Roberts, A., Nature, 251, 607 (1974).
Gardner, M. R., and Ashby, W. R., Nature, 228, 784 (1970).
May, R. M., Nature, 238, 413 (1972).
May, R. M., Model Ecosystems (Princeton University Press, Princeton, 1973).
Case, T. J., and Gilpin, M. E., Proc. natn. Acad. Sci. U.S.A., 71, 3073 (1974).
Odum, E. P., Fundamentals of Ecology (Saunders, Philadelphia, 1971).
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GILPIN, M. Stability of feasible predator-prey systems. Nature 254, 137–139 (1975). https://doi.org/10.1038/254137a0
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DOI: https://doi.org/10.1038/254137a0
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