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Nonlinear Systems & Linearization · Medium problem

Two species compete: x′=x(6−2x−y),  y′=y(5−x−y)x' = x(6 - 2x - y),\; y' = y(5 - x - y). At the coexistence equilibrium (both populations positive), the Jacobian has two real eigenvalues. Find the eigenvalue closer to zero, in simplest radical form.