Letter | Published:

Stability of feasible predator-prey systems

Naturevolume 254pages137139 (1975) | Download Citation

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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

  1. 1

    Roberts, A., Nature, 251, 607 (1974).

  2. 2

    Gardner, M. R., and Ashby, W. R., Nature, 228, 784 (1970).

  3. 3

    May, R. M., Nature, 238, 413 (1972).

  4. 4

    May, R. M., Model Ecosystems (Princeton University Press, Princeton, 1973).

  5. 5

    Case, T. J., and Gilpin, M. E., Proc. natn. Acad. Sci. U.S.A., 71, 3073 (1974).

  6. 6

    Odum, E. P., Fundamentals of Ecology (Saunders, Philadelphia, 1971).

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Affiliations

  1. Department of Biology, University of California at San Diego, La Jolla, California, 92037

    • MICHAEL E. GILPIN

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https://doi.org/10.1038/254137a0

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