HOPF BIFURCATION ANALYSIS FOR A RATIO-DEPENDENT PREDATOR–PREY SYSTEM INVOLVING TWO DELAYS

DOI10.1017/S1446181114000054zbMath1304.34138OpenAlexW2158758459WikidataQ115562702 ScholiaQ115562702MaRDI QIDQ2877695

Esra Karaoğlu, Hüseyin Merdan

Publication date: 25 August 2014

Published in: The ANZIAM Journal (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1017/s1446181114000054

zbMATH Keywords

stabilityperiodic solutionstime delayHopf bifurcationdelay differential equationpopulation dynamics

Mathematics Subject Classification ID

Transformation and reduction of functional-differential equations and systems, normal forms (34K17) 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) Invariant manifolds of functional-differential equations (34K19)

Related Items

Dynamic complexity of a fractional-order predator-prey system with double delays, Complex Dynamics of a Discrete-Time Prey–Predator System with Leslie Type: Stability, Bifurcation Analyses and Chaos, Hopf bifurcations of a ratio-dependent predator-prey model involving two discrete maturation time delays, Delay Effects on the Dynamics of the Lengyel–Epstein Reaction-Diffusion Model, Hopf bifurcations of a Lengyel-Epstein model involving two discrete time delays

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