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Global Attractor in the Positive Quadrant of the Lotka–Volterra System in $ℝ^{2}$

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

E-mail Address: jllibre@mat.uab.cat

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and

Y. Paulina Mancilla-Martínez

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

E-mail Address: ymartinez@ubiobio.cl

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https://doi.org/10.1142/S021812742350147XCited by:2 (Source: Crossref)

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.

Keywords:

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