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Integrability of a class of N–dimensional Lotka–Volterra and Kolmogorov systems

Jaume Llibre, Rafael Ramírez, Valentín Ramírez

Journal of Differential Equations · 2020 · 11 citations · 7 references

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References

7

Generalized Hamiltonian Dynamics

Y. Nambu · Physical review. D. Particles, fields, gravitation, and cosmology/Physical review. D. Particles and fields · 1973 · 996 citations

, , +17

Analytical Note on Certain Rhythmic Relations in Organic Systems

Alfred J. Lotka · Proceedings of the National Academy of Sciences · 1920 · 953 citations

, , +13

Darboux theory of integrability in <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" altimg="si1.gif" overflow="scroll"><mml:msup><mml:mi mathvariant="double-struck">C</mml:mi><mml:mi>n</mml:mi></mml:msup></mml:math> taking into account the multiplicity

Jaume Llibre, Xiang Zhang · Journal of Differential Equations · 2008 · 120 citations

, , +6

On the Asymmetric May--Leonard Model of Three Competing Species

Chia-Wei Chi, Lih-Ing Wu, Sze‐Bi Hsu · SIAM Journal on Applied Mathematics · 1998 · 82 citations

, , +16

Darboux theory of integrability for polynomial vector fields in <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" altimg="si1.gif" display="inline" overflow="scroll"><mml:msup><mml:mi mathvariant="double-struck">R</mml:mi><mml:mi>n</mml:mi></mml:msup></mml:math> taking into account the multiplicity at infinity

Jaume Llibre, Xiang Zhang · Bulletin des Sciences Mathématiques · 2009 · 64 citations

, , +8