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

Forskningsoutput: Tidskriftsbidrag › Artikel › Vetenskaplig › Peer review

3 Citeringar (Scopus)

Sammanfattning

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.

Originalspråk	Odefinierat/okänt
Sidor (från-till)	–
Antal sidor	9
Tidskrift	International Journal of Bifurcation and Chaos
Volym	27
Nummer	8
DOI	https://doi.org/10.1142/S0218127417501164
Status	Publicerad - 2017
MoE-publikationstyp	A1 Tidskriftsartikel-refererad

Nyckelord

Poincare map
bifurcations
predator-prey

Åtkomst av dokument

10.1142/S0218127417501164

Citera det här

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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",

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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

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DO - 10.1142/S0218127417501164

M3 - Artikel

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JF - International Journal of Bifurcation and Chaos

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