Poincaré Map Construction for Some Classic Two Predators-One Prey Systems

AV Osipov; Gunnar Söderbacka

doi:10.1142/S0218127417501164

Poincaré Map Construction for Some Classic Two Predators-One Prey Systems

AV Osipov, Gunnar Söderbacka

Tutkimustuotos: Lehtiartikkeli › Artikkeli › Tieteellinen › vertaisarvioitu

3 Sitaatiot (Scopus)

Abstrakti

In this paper, we consider a family of systems with two predators feeding on one prey. We show how to construct a positively invariant set in which it is possible to define a Poincare map for examining the behavior of the system, mainly in the case when both predators survive. We relate it to examples from earlier works.

Alkuperäiskieli	Ei tiedossa
Sivut	–
Sivumäärä	9
Julkaisu	International Journal of Bifurcation and Chaos
Vuosikerta	27
Numero	8
DOI - pysyväislinkit	https://doi.org/10.1142/S0218127417501164
Tila	Julkaistu - 2017
OKM-julkaisutyyppi	A1 Julkaistu artikkeli, soviteltu

Keywords

Poincare map
bifurcations
predator-prey

Pääsy asiakirjaan

10.1142/S0218127417501164

Viittausmuodot

@article{e60800765cae4e47b846dbeb86e3afa6,

title = "Poincar{\'e} Map Construction for Some Classic Two Predators-One Prey Systems",

abstract = "In this paper, we consider a family of systems with two predators feeding on one prey. We show how to construct a positively invariant set in which it is possible to define a Poincare map for examining the behavior of the system, mainly in the case when both predators survive. We relate it to examples from earlier works.",

keywords = "Poincare map, bifurcations, predator-prey, Poincare map, bifurcations, predator-prey, Poincare map, bifurcations, predator-prey",

author = "AV Osipov and Gunnar S{\"o}derbacka",

year = "2017",

doi = "10.1142/S0218127417501164",

language = "Odefinierat/ok{\"a}nt",

volume = "27",

pages = "–",

journal = "International Journal of Bifurcation and Chaos",

issn = "0218-1274",

publisher = "World Scientific Publishing",

number = "8",

}

TY - JOUR

T1 - Poincaré Map Construction for Some Classic Two Predators-One Prey Systems

AU - Osipov, AV

AU - Söderbacka, Gunnar

PY - 2017

Y1 - 2017

N2 - In this paper, we consider a family of systems with two predators feeding on one prey. We show how to construct a positively invariant set in which it is possible to define a Poincare map for examining the behavior of the system, mainly in the case when both predators survive. We relate it to examples from earlier works.

AB - In this paper, we consider a family of systems with two predators feeding on one prey. We show how to construct a positively invariant set in which it is possible to define a Poincare map for examining the behavior of the system, mainly in the case when both predators survive. We relate it to examples from earlier works.

KW - Poincare map

KW - bifurcations

KW - predator-prey

KW - Poincare map

KW - bifurcations

KW - predator-prey

KW - Poincare map

KW - bifurcations

KW - predator-prey

U2 - 10.1142/S0218127417501164

DO - 10.1142/S0218127417501164

M3 - Artikel

SN - 0218-1274

VL - 27

SP - –

JO - International Journal of Bifurcation and Chaos

JF - International Journal of Bifurcation and Chaos

IS - 8

ER -