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Community matrix

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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