Delay-Induced Triple-Zero Bifurcation in a Delayed Leslie-Type Predator–Prey Model with Additive Allee Effect

DOI10.1142/S0218127416501170zbMath1343.34181OpenAlexW2464726617WikidataQ115523768 ScholiaQ115523768MaRDI QIDQ3187967

Jiao Jiang, Pei Yu, Yongli Song

Publication date: 5 September 2016

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

Full work available at URL: https://doi.org/10.1142/s0218127416501170

zbMATH Keywords

stabilitytime delaypredator-prey modelAllee effecttriple-zero bifurcation

Mathematics Subject Classification ID

Population dynamics (general) (92D25) Transformation and reduction of functional-differential equations and systems, normal forms (34K17) Stability theory of functional-differential equations (34K20) 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)

Related Items (8)

Canard Cycles and Relaxation Oscillations in a Singularly Perturbed Leslie–Gower Predator–Prey Model with Allee Effect ⋮ Bifurcation structure of nonconstant positive steady states for a diffusive predator-prey model ⋮ Codimension Bifurcation Analysis of a Modified Leslie–Gower Predator–Prey Model with Two Delays ⋮ Delayed carrying capacity induced subcritical and supercritical Hopf bifurcations in a predator-prey system ⋮ Global dynamics of a predator-prey model with a Smith growth function and the additive predation in prey ⋮ Spatiotemporal dynamics of a diffusive Leslie-Gower prey-predator model with strong allee effect ⋮ Stability and bifurcation in a single species logistic model with additive Allee effect and feedback control ⋮ SECOND-ORDER NORMAL FORMS FOR N-DIMENSIONAL SYSTEMS WITH A NILPOTENT POINT

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