On the non-existence of periodic orbits for a class of two-dimensional Kolmogorov systems

DOI10.3103/S1066369X18010012zbMath1396.34015OpenAlexW2789368782MaRDI QIDQ1746433

Rachid Boukoucha

Publication date: 25 April 2018

Published in: Russian Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3103/s1066369x18010012

zbMATH Keywords

periodic orbitslimit cyclefirst integralKolmogorov system

Mathematics Subject Classification ID

Topological structure of integral curves, singular points, limit cycles of ordinary differential equations (34C05) Nonlinear ordinary differential equations and systems (34A34) Population dynamics (general) (92D25)

Related Items (1)

On the practical stability with respect to \(h\)-manifolds of hybrid Kolmogorov systems with variable impulsive perturbations

Cites Work

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• EXPLICIT NON-ALGEBRAIC LIMIT CYCLES OF A CLASS OF POLYNOMIAL SYSTEMS
• The cyclicity of period annulus of a quadratic reversible Lotka–Volterra system
• Phase portraits of cubic polynomial vector fields of Lotka–Volterra type having a rational first integral of degree 2
• On the dynamics of a class of Kolmogorov systems
• On the dynamics of a class of Kolmogorov systems

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