Final evolutions of a class of May-Leonard Lotka-Volterra systems

DOI10.1080/14029251.2020.1700635zbMath1436.34059OpenAlexW3003375897MaRDI QIDQ5212612

Robson A. T. Santos, Jaume Llibre, Claudio A. Buzzi

Publication date: 29 January 2020

Published in: Journal of Nonlinear Mathematical Physics (Search for Journal in Brave)

Full work available at URL: http://ddd.uab.cat/record/221327

zbMATH Keywords

Lotka-Volterra systemMay-Leonard systeminvariant, global dynamics

Mathematics Subject Classification ID

Dynamical systems in biology (37N25) Population dynamics (general) (92D25) Asymptotic properties of solutions to ordinary differential equations (34D05) Attractors of solutions to ordinary differential equations (34D45) Monotone systems involving ordinary differential equations (34C12)

Related Items (4)

Global dynamics of 3D cooperative Lotka-Volterra system with the identical intrinsic growth rate ⋮ Phase portraits of a family of Kolmogorov systems with infinitely many singular points at infinity ⋮ Three-dimensional Lotka-Volterra systems with 3:\(-1\):2-resonance ⋮ Integrability and linearizability of a family of three-dimensional quadratic systems

Cites Work

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• Integrability and global dynamics of the May-Leonard model
• Polynomial, rational and analytic first integrals for a family of 3-dimensional Lotka-Volterra systems
• Qualitative theory of planar differential systems
• Analytic Behaviour of Competition among Three Species
• Bounded Polynomial Vector Fields
• Nonlinear Aspects of Competition Between Three Species
• Quadratic systems with invariant straight lines of total multiplicity two having Darboux invariants
• Proper rational and analytic first integrals for asymmetric 3-dimensional Lotka-Volterra systems
• A Lemma in the Theory of Structural Stability of Differential Equations

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