# Rings of constants of four-variable Lotka-Volterra systems

Open Mathematics (2013)

- Volume: 11, Issue: 11, page 1923-1931
- ISSN: 2391-5455

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topJanusz Zieliński. "Rings of constants of four-variable Lotka-Volterra systems." Open Mathematics 11.11 (2013): 1923-1931. <http://eudml.org/doc/269582>.

@article{JanuszZieliński2013,

abstract = {Lotka-Volterra systems appear in population biology, plasma physics, laser physics and derivation theory, among many others. We determine the rings of constants of four-variable Lotka-Volterra derivations with four parameters C 1, C 2, C 3, C 4 ∈ k, where k is a field of characteristic zero. Thus, we give a full description of polynomial first integrals of the respective systems of differential equations.},

author = {Janusz Zieliński},

journal = {Open Mathematics},

keywords = {Lotka-Volterra derivation; Polynomial constant; Polynomial first integral; ring of constants},

language = {eng},

number = {11},

pages = {1923-1931},

title = {Rings of constants of four-variable Lotka-Volterra systems},

url = {http://eudml.org/doc/269582},

volume = {11},

year = {2013},

}

TY - JOUR

AU - Janusz Zieliński

TI - Rings of constants of four-variable Lotka-Volterra systems

JO - Open Mathematics

PY - 2013

VL - 11

IS - 11

SP - 1923

EP - 1931

AB - Lotka-Volterra systems appear in population biology, plasma physics, laser physics and derivation theory, among many others. We determine the rings of constants of four-variable Lotka-Volterra derivations with four parameters C 1, C 2, C 3, C 4 ∈ k, where k is a field of characteristic zero. Thus, we give a full description of polynomial first integrals of the respective systems of differential equations.

LA - eng

KW - Lotka-Volterra derivation; Polynomial constant; Polynomial first integral; ring of constants

UR - http://eudml.org/doc/269582

ER -

## References

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