Hopf Bifurcations in Nicholson’s Blowfly Equation are Always Supercritical

DOI10.1142/S0218127421500711zbMath1469.34108OpenAlexW3157779390MaRDI QIDQ4990654

Gergely Röst, István Balázs

Publication date: 31 May 2021

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

Full work available at URL: https://doi.org/10.1142/s0218127421500711

zbMATH Keywords

Hopf bifurcationnormal formdelay differential equationsupercritical

Mathematics Subject Classification ID

Population dynamics (general) (92D25) Stability theory of functional-differential equations (34K20) Periodic solutions to functional-differential equations (34K13) Qualitative investigation and simulation of models involving functional-differential equations (34K60) Bifurcation theory of functional-differential equations (34K18) Stationary solutions of functional-differential equations (34K21)

Cites Work

• Hopf bifurcation analysis in a delayed Nicholson blowflies equation
• Normal forms for retarded functional differential equations and applications to Bogdanov-Takens singularity
• Hopf bifurcation for Wright-type delay differential equations: the simplest formula, period estimates, and the absence of folds
• Unnamed Item

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