First integrals of Darboux type for a family of 3-dimensional Lotka-Volterra systems

Jaume Llibre; Clàudia Valls

doi:https://doi.org/10.1016/j.bulsci.2014.10.004

First integrals of Darboux type for a family of 3-dimensional Lotka-Volterra systems

Jaume Llibre, Clàudia Valls

Department of Mathematics

Research output: Contribution to journal › Article › Research › peer-review

2 Citations (Scopus)

Abstract

© 2014 Elsevier Masson SAS. We provide all the first integrals of Darboux type for the system studied by Leach and Miritzis (2006) [7] on the classical model of competition between three species considered by May and Leonard (1975) [12].

Original language	English
Pages (from-to)	473-494
Journal	Bulletin des Sciences Mathematiques
Volume	139
Issue number	5
DOIs	https://doi.org/10.1016/j.bulsci.2014.10.004
Publication status	Published - 1 Jan 2015

Keywords

Integrability of Darboux type
Lotka-Volterra systems
May-Leonard system

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https://doi.org/10.1016/j.bulsci.2014.10.004

https://ddd.uab.cat/record/145373

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title = "First integrals of Darboux type for a family of 3-dimensional Lotka-Volterra systems",

abstract = "{\textcopyright} 2014 Elsevier Masson SAS. We provide all the first integrals of Darboux type for the system studied by Leach and Miritzis (2006) [7] on the classical model of competition between three species considered by May and Leonard (1975) [12].",

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author = "Jaume Llibre and Cl{\`a}udia Valls",

year = "2015",

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AU - Llibre, Jaume

AU - Valls, Clàudia

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AB - © 2014 Elsevier Masson SAS. We provide all the first integrals of Darboux type for the system studied by Leach and Miritzis (2006) [7] on the classical model of competition between three species considered by May and Leonard (1975) [12].

KW - Integrability of Darboux type

KW - Lotka-Volterra systems

KW - May-Leonard system

U2 - https://doi.org/10.1016/j.bulsci.2014.10.004

DO - https://doi.org/10.1016/j.bulsci.2014.10.004

M3 - Article

SN - 0007-4497

VL - 139

SP - 473

EP - 494

JO - Bulletin des Sciences Mathematiques

JF - Bulletin des Sciences Mathematiques

IS - 5

ER -

First integrals of Darboux type for a family of 3-dimensional Lotka-Volterra systems

Abstract

Keywords

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