A global asymptotic stability condition for a Lotka–Volterra model with indirect interactions

DOI10.1080/00036811.2018.1437417zbMath1417.34105OpenAlexW2790827191MaRDI QIDQ5379432

Mircea T. Sofonea

Publication date: 12 June 2019

Published in: Applicable Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/00036811.2018.1437417

zbMATH Keywords

global stabilityLyapunov's second methodecological modellingmicrobial interactions

Mathematics Subject Classification ID

Population dynamics (general) (92D25) Qualitative investigation and simulation of ordinary differential equation models (34C60) Global stability of solutions to ordinary differential equations (34D23)

Cites Work

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• The canonical equation of adaptive dynamics for life histories: from fitness-returns to selection gradients and Pontryagin's maximum principle
• Adaptive dynamics and evolutionary stability
• Lotka-Volterra representation of general nonlinear systems
• Hopf bifurcations in competitive three-dimensional Lotka–Volterra systems
• A Lemma in the Theory of Structural Stability of Differential Equations

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