Spectral control for ecological stability

A system made up of N interacting species is considered. Self-reaction terms are assumed ofthe logistic type. Pairwise interactions take place among species according to different modalities, thusyielding a complex asymmetric disordered graph. A mathematical procedure is introduced and tested tostabilise the ecosystem via an ad hoc rewiring of the underlying couplings. The method implements minimalmodifications to the spectrum of the Jacobian matrix which sets the stability of the fixed point and tracesthese changes back to species–species interactions. Resilience of the equilibrium state appear to be favouredby predator-prey interactions