Community matrix

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