Feasibility and stability in large Lotka Volterra systems with interaction structure
Populations and Evolution
2023-05-17 v2
Abstract
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.
Keywords
Cite
@article{arxiv.2211.12949,
title = {Feasibility and stability in large Lotka Volterra systems with interaction structure},
author = {Xiaoyuan Liu and George W. A. Constable and Jonathan W. Pitchford},
journal= {arXiv preprint arXiv:2211.12949},
year = {2023}
}
Comments
Manuscript is 8 pages long, containing 4 figures. Pages 9 to 25 is the Supplemental Material