Global Attractor in the Positive Quadrant of the Lotka–Volterra System in ℝ2-Reference-Cited by-同舟云学术

Global Attractor in the Positive Quadrant of the Lotka–Volterra System in ℝ2

Published:2023-09-30 Issue:12 Volume:33 Page:
ISSN:0218-1274
Container-title:International Journal of Bifurcation and Chaos
language:en
Short-container-title:Int. J. Bifurcation Chaos

Author:

Llibre Jaume¹,Mancilla-Martínez Y. Paulina²

Affiliation:

1. Departament de Matemàtiques, Facultat de Ciències Universitat Autònoma de Barcelona, 08193 Bellaterra, Barcelona, Catalonia, Spain

2. Departamento de Matemática, Facultad de Ciencias, Universidad del Bío-Bío Concepción, Chile

Abstract

We characterize when the unique equilibrium point of the positive quadrant of the twodimensional Lotka–Volterra system is a global attractor in that quadrant. Additionally, we classify the phase portraits of this class of Lokta–Volterra system.

Funder

Agencia Estatal de Investigación

European Research Council

AGAUR

Publisher

World Scientific Pub Co Pte Ltd

Subject

Applied Mathematics,Modeling and Simulation,Engineering (miscellaneous)

Link

https://www.worldscientific.com/doi/pdf/10.1142/S021812742350147X

Reference22 articles.

1. Ecological communities with Lotka-Volterra dynamics

2. Transition to Turbulence Via the Statistical Limit Cycle Route

3. A survey of quadratic systems

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