Equilibrium and surviving species in a large Lotka-Volterra system of differential equations

DOI10.1007/s00285-023-01939-zzbMath1519.92189arXiv2205.00735OpenAlexW4283710132MaRDI QIDQ6110190

François Massol, Jamal Najim, Maxime Clenet

Publication date: 4 July 2023

Published in: Journal of Mathematical Biology (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2205.00735

zbMATH Keywords

linear complementarity problemsLotka-Volterra equationslarge random matricesstability of food webs

Mathematics Subject Classification ID

Random matrices (probabilistic aspects) (60B20) Extreme value theory; extremal stochastic processes (60G70) Complementarity and equilibrium problems and variational inequalities (finite dimensions) (aspects of mathematical programming) (90C33) Population dynamics (general) (92D25) Linear ordinary differential equations and systems (34A30) Ecology (92D40)

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