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The community matrix in three species community models

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Publication:1835607
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DOI10.1007/BF00275158zbMath0503.92021OpenAlexW2053829591WikidataQ113909351 ScholiaQ113909351MaRDI QIDQ1835607

C. E. Clark, Thomas G. Hallam

Publication date: 1982

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

Full work available at URL: https://doi.org/10.1007/bf00275158


zbMATH Keywords

Lotka-Volterra modelsstability of equilibriacommunity matrixthree species community models


Mathematics Subject Classification ID

Population dynamics (general) (92D25) Perturbations of ordinary differential equations (34D10)


Related Items (5)

Hopf bifurcations in competitive three-dimensional Lotka–Volterra systems ⋮ Biodiversity and vulnerability in a 3D mutualistic system ⋮ Stronger-than-Lyapunov notions of matrix stability, or how ``flowers help solve problems in mathematical ecology ⋮ Three-dimensional population systems ⋮ Mathematical analysis of a single-species population model in a polluted environment with discrete time delays



Cites Work

  • The inertia of diagonal multiples of \(3\times 3\) real matrices
  • Diagonally dominant matrices
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