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Integrability and non-existence of periodic orbits for a class of Kolmogorov systems - MaRDI portal

Integrability and non-existence of periodic orbits for a class of Kolmogorov systems (Q2107433)

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scientific article; zbMATH DE number 7625859
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Integrability and non-existence of periodic orbits for a class of Kolmogorov systems
scientific article; zbMATH DE number 7625859

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    Integrability and non-existence of periodic orbits for a class of Kolmogorov systems (English)
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    1 December 2022
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    In this paper, the authors study the integrability and the non-existence of periodic orbits for planar Kolmogorov differential systems. Applications of such systems can be found, for example, in modeling population dynamics in biology and ecology.
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    Kolmogorov differential systems
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    first integral
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    invariant algebraic curve
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    periodic orbit
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