Stability-instability transition in tripartite merged ecological networks

DOI10.1007/s00285-022-01783-7zbMath1497.92342OpenAlexW4290839727WikidataQ113905336 ScholiaQ113905336MaRDI QIDQ2165057

Anne-Kathleen Malchow, Clive Emary

Publication date: 18 August 2022

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

Full work available at URL: https://doi.org/10.1007/s00285-022-01783-7

zbMATH Keywords

random matricesphase transitionpopulation dynamicsrandom eigenvaluescommunity matrixecological network

Mathematics Subject Classification ID

Random matrices (probabilistic aspects) (60B20) Ecology (92D40) Systems biology, networks (92C42) Stability theory for random and stochastic dynamical systems (37H30)

Cites Work

• The eigenvalues and eigenvectors of finite, low rank perturbations of large random matrices
• The stability and persistence of mutualisms embedded in community interactions
• On the empirical distribution of eigenvalues of a class of large dimensional random matrices
• Phase transition of the largest eigenvalue for nonnull complex sample covariance matrices
• Diversity of Interaction Types and Ecological Community Stability
• DISTRIBUTION OF EIGENVALUES FOR SOME SETS OF RANDOM MATRICES

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