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Community matrix

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This is an old revision of this page, as edited by Michael Hardy (talk | contribs) at 05:03, 23 April 2009 (Added some context and links, formatted. This is now somewhat closer to usual Wikipedia conventions. See WP:MOS and WP:MOSMATH.). The present address (URL) is a permanent link to this revision, which may differ significantly from the current revision.

In mathematical ecology, a community matrix is a matrix whose eigenvalues determine the stability of singular points in the Lotka-Volterra predator-prey model.

point is unstable if Re λ > 1,
point is stable if Re λ < 1,
point is neutrally stable if Re λ = 1

References

  • Murray, J D., Mathematical Biology 1: An introduction, third edition, Springer-Verlag
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