TY - JOUR

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

AU - Osipov, Alexandr V.

AU - Söderbacka, Gunnar

PY - 2017/7/1

Y1 - 2017/7/1

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 Poincaré 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 Poincaré 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 - bifurcations

KW - Poincaré map

KW - predator-prey

UR - http://www.scopus.com/inward/record.url?scp=85027141135&partnerID=8YFLogxK

U2 - 10.1142/S0218127417501164

DO - 10.1142/S0218127417501164

M3 - Article

AN - SCOPUS:85027141135

VL - 27

JO - International Journal of Bifurcation and Chaos in Applied Sciences and Engineering

JF - International Journal of Bifurcation and Chaos in Applied Sciences and Engineering

SN - 0218-1274

IS - 8

M1 - 1750116

ER -