Hopf-Zero bifurcation in an age-dependent predator-prey system with Monod-Haldane functional response comprising strong Allee effect

DOI10.1016/j.jde.2020.06.048zbMath1452.34057OpenAlexW3039199027MaRDI QIDQ2202262

Peng Yang, Yuanshi Wang

Publication date: 18 September 2020

Published in: Journal of Differential Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jde.2020.06.048

zbMATH Keywords

center manifold theoremnormal form theoryage-dependentMonod-Haldane functional responseHopf-Zero bifurcationstrong allee effect

Mathematics Subject Classification ID

Transformation and reduction of ordinary differential equations and systems, normal forms (34C20) Bifurcation theory for ordinary differential equations (34C23) Population dynamics (general) (92D25) Nonlinear differential equations in abstract spaces (34G20) Qualitative investigation and simulation of ordinary differential equation models (34C60) Invariant manifolds for ordinary differential equations (34C45)

Related Items (9)

Canard Cycles and Relaxation Oscillations in a Singularly Perturbed Leslie–Gower Predator–Prey Model with Allee Effect ⋮ Takens-Bogdanov bifurcation for a ratio-dependent predation interaction involving prey-competition and predator-age ⋮ Hopf bifurcation in an age-structured predator-prey system with Beddington-DeAngelis functional response and constant harvesting ⋮ Optimal harvesting for a predator‐prey system with age structure and reserve area ⋮ Hopf Bifurcation of an Age-Structured Epidemic Model with Quarantine and Temporary Immunity Effects ⋮ Hopf bifurcation for a predator-prey model with age structure and ratio-dependent response function incorporating a prey refuge ⋮ On oscillations to a 2D age-dependent predation equations characterizing Beddington-DeAngelis type schemes ⋮ Dynamics of a Food Chain Model with Two Infected Predators ⋮ DYNAMICS OF FRACTIONAL-ORDER PREDATOR–PREY MODEL INCORPORATING TWO DELAYS

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