Liu, Xiaoyuan, Constable, George William Albert orcid.org/0000-0001-9791-9571 and Pitchford, Jon orcid.org/0000-0002-8756-0902 (2023) Feasibility and stability in large Lotka Volterra systems with interaction structure. Physical Review E. 054301. ISSN 1550-2376
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.
Metadata
Authors/Creators: |
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Keywords: | ecological stability, ecological feasibility, random matrix theory, ecological modelling, Generalised Lotka-Volterra |
Dates: |
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Institution: | The University of York |
Academic Units: | The University of York > Faculty of Sciences (York) > Mathematics (York) The University of York > Faculty of Sciences (York) > Biology (York) |
Depositing User: | Pure (York) |
Date Deposited: | 24 Apr 2023 16:40 |
Last Modified: | 11 Jan 2024 00:19 |
Published Version: | https://doi.org/10.1103/PhysRevE.107.054301 |
Status: | Published |
Refereed: | Yes |
Identification Number: | https://doi.org/10.1103/PhysRevE.107.054301 |