Sector stability of a complex ecosystem model

By definition a partially feasible equilibrium is sector-stable if every solution of the system which begins in a nonnegative neighborhood remains in the same or a larger nonnegative neighborhood for all finite values of t and converges to the steady state as t→∞. It is argued that the concept of se...

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Bibliographic Details
Published in:Mathematical biosciences 1978-01, Vol.40 (1), p.157-166
Main Author: Goh, B.S.
Format: Article
Language:English
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Summary:By definition a partially feasible equilibrium is sector-stable if every solution of the system which begins in a nonnegative neighborhood remains in the same or a larger nonnegative neighborhood for all finite values of t and converges to the steady state as t→∞. It is argued that the concept of sector stability is important in the analysis of a complex ecosystem model. A nontrivial mathematical criterion is given for the total system property which states that the self-regulating intraspecific interactions are stronger than the interspecific interactions. This total system property ensures global stability or global sector stability in a model. It follows that such a model can withstand a wide range of realistic perturbations of its initial state.
ISSN:0025-5564
1879-3134
DOI:10.1016/0025-5564(78)90078-0