Nonresonant Double Hopf Bifurcation in Toxic Phytoplankton–Zooplankton Model with Delay

DOI10.1142/S0218127417500286zbMath1362.34123OpenAlexW2601280248MaRDI QIDQ5738125

Rui Yuan, Yong Wang, Weihua Jiang

Publication date: 31 May 2017

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

Full work available at URL: https://doi.org/10.1142/s0218127417500286

zbMATH Keywords

Hopf bifurcationdouble Hopf bifurcationstability switchingquasiperiodic orbitphytoplankton-zooplankton modelMichaelis-Menten type phytoplankton harvesting

Mathematics Subject Classification ID

Population dynamics (general) (92D25) Transformation and reduction of functional-differential equations and systems, normal forms (34K17) Almost and pseudo-almost periodic solutions to functional-differential equations (34K14) Stability theory of functional-differential equations (34K20) Ecology (92D40) 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)

Related Items (6)

Homoclinic Boundary-Saddle Bifurcations in Planar Nonsmooth Vector Fields ⋮ Stationary pattern and Hopf bifurcation of a diffusive predator–prey model ⋮ Bursting behaviors as well as the mechanism of controlled coupled oscillators in a system with double Hopf bifurcations ⋮ Hopf-Hopf bifurcation in the delayed nutrient-microorganism model ⋮ Dynamics in a Plankton Model with Toxic Substances and Phytoplankton Harvesting ⋮ Stability analysis and pattern selection of a plankton system with nonlocal predation

Cites Work

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