Feasibility and stability in large Lotka Volterra systems with interaction structure

Xiaoyuan Liu*, George William Albert Constable, Jon Pitchford

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review


Complex system stability can be studied via linear stability analysis using Random Matrix Theory (RMT) or via feasibility (requiring positive equilibrium abundances). Both approaches highlight the importance of interaction structure. Here we show, analytically and numerically, how RMT and feasibility approaches can be complementary. In generalised Lotka-Volterra (GLV) models with random interaction matrices, feasibility increases when predator-prey interactions increase; increasing competition/mutualism has the opposite effect. These changes have crucial impact on the stability of the GLV model.
Original languageEnglish
Article number054301
Number of pages7
JournalPhysical Review E
Publication statusPublished - 5 May 2023


  • ecological stability
  • ecological feasibility
  • random matrix theory
  • ecological modelling
  • Generalised Lotka-Volterra

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