Figure 4
From: The feasibility and stability of large complex biological networks: a random matrix approach
Competition community with n = 400, γ = 0.3, c = 0.1. (a) Boundary of the eigenvalue distribution (red) is plotted as predicted by Eq. 16 and the actual numerically calculated eigenvalues are given (blue dots). (b) The real parts of the eigenvalues of S are plotted against the equilibrium populations (1 − c)\(\,{N}_{i}^{\ast }\,{{\rm{indicating}}}_{{\rm{i}}}\simeq -\,(1-c){N}_{i}^{\ast }\), and the points sit close to the 45 degree line as predicted in the text. For ease of visualisation the single outlying eigenvalue λ = −21.41 has been removed from the plots (see Methods).
