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

DOI10.1142/S0218127417501164zbMath1377.34064arXiv1604.07962OpenAlexW2963287021WikidataQ115523747 ScholiaQ115523747MaRDI QIDQ4599772

A. V. Osipov, Gunnar Söderbacka

Publication date: 5 January 2018

Published in: International Journal of Bifurcation and Chaos (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1604.07962

zbMATH Keywords

predator-preybifurcationsPoincaré map

Mathematics Subject Classification ID

Periodic solutions to ordinary differential equations (34C25) Population dynamics (general) (92D25) Qualitative investigation and simulation of ordinary differential equation models (34C60) Dynamical systems involving smooth mappings and diffeomorphisms (37C05)

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Cites Work

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• Bifurcation from a limit cycle in a two predator-one prey ecosystem modeled on a chemostat
• Scientific heritage of L. P. Shilnikov
• Oscillatory Coexistence in the Chemostat: A Codimension Two Unfolding
• Proof of the uniqueness theorem of limit cycles of generalized liénard equations
• On a Kind of Predator-Prey System
• The Interaction of Steady State and Hopf Bifurcations in a Two-Predator–One-Prey Competition Model
• Limiting Behavior for Competing Species
• Competing Predators