Global phase portraits of a predator–prey system

Érika Diz-Pita; Jaume Llibre; M. Victoria Otero-Espinar

doi:10.14232/ejqtde.2022.1.16

Global phase portraits of a predator–prey system

Érika Diz-Pita^*, Jaume Llibre, M. Victoria Otero-Espinar

^*Autor corresponent d’aquest treball

Departament de Matemàtiques

Universidade de Santiago de Compostela (USC)

Producció científica: Contribució a revista › Article › Recerca › Avaluat per experts

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Resum

We classify the global dynamics of a family of Kolmogorov systems depend-ing on three parameters which has ecological meaning as it modelizes a predator–prey system. We obtain all their topologically distinct global phase portraits in the positive quadrant of the Poincaré disc, so we provide all the possible distinct dynamics of these systems.

Idioma original	Anglès
Pàgines (de-a)	1-13
Nombre de pàgines	13
Revista	Electronic Journal of Qualitative Theory of Differential Equations
Volum	2022
Número	16
DOIs	https://doi.org/10.14232/ejqtde.2022.1.16
Estat de la publicació	Publicada - 2022

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10.14232/ejqtde.2022.1.16

https://ddd.uab.cat/record/259918

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title = "Global phase portraits of a predator–prey system",

abstract = "We classify the global dynamics of a family of Kolmogorov systems depend-ing on three parameters which has ecological meaning as it modelizes a predator–prey system. We obtain all their topologically distinct global phase portraits in the positive quadrant of the Poincar{\'e} disc, so we provide all the possible distinct dynamics of these systems.",

keywords = "Kolmogorov system, Poincar{\'e} disc, global phase portrait, predator–prey system",

author = "{\'E}rika Diz-Pita and Jaume Llibre and Otero-Espinar, {M. Victoria}",

year = "2022",

doi = "10.14232/ejqtde.2022.1.16",

language = "English",

volume = "2022",

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journal = "Electronic Journal of Qualitative Theory of Differential Equations",

issn = "1417-3875",

publisher = "University of Szeged",

number = "16",

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TY - JOUR

T1 - Global phase portraits of a predator–prey system

AU - Diz-Pita, Érika

AU - Llibre, Jaume

AU - Otero-Espinar, M. Victoria

PY - 2022

Y1 - 2022

N2 - We classify the global dynamics of a family of Kolmogorov systems depend-ing on three parameters which has ecological meaning as it modelizes a predator–prey system. We obtain all their topologically distinct global phase portraits in the positive quadrant of the Poincaré disc, so we provide all the possible distinct dynamics of these systems.

AB - We classify the global dynamics of a family of Kolmogorov systems depend-ing on three parameters which has ecological meaning as it modelizes a predator–prey system. We obtain all their topologically distinct global phase portraits in the positive quadrant of the Poincaré disc, so we provide all the possible distinct dynamics of these systems.

KW - Kolmogorov system

KW - Poincaré disc

KW - global phase portrait

KW - predator–prey system

UR - http://www.scopus.com/inward/record.url?scp=85129042627&partnerID=8YFLogxK

U2 - 10.14232/ejqtde.2022.1.16

DO - 10.14232/ejqtde.2022.1.16

M3 - Article

AN - SCOPUS:85129042627

SN - 1417-3875

VL - 2022

SP - 1

EP - 13

JO - Electronic Journal of Qualitative Theory of Differential Equations

JF - Electronic Journal of Qualitative Theory of Differential Equations

IS - 16

ER -

Global phase portraits of a predator–prey system

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