Bifurcation Analysis of a Predator–Prey System with Ratio-Dependent Functional Response

DOI10.1142/S0218127417502224zbMath1383.34071OpenAlexW2786248442WikidataQ115523742 ScholiaQ115523742MaRDI QIDQ4602539

Xin Jiang, Xiuliang Zheng, Zhikun She, Zhao-sheng Feng

Publication date: 31 January 2018

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

Full work available at URL: https://doi.org/10.1142/s0218127417502224

zbMATH Keywords

saddle-node bifurcationHopf bifurcationS-procedurepredator-prey systemlocal and global asymptotic stability

Mathematics Subject Classification ID

Topological structure of integral curves, singular points, limit cycles of ordinary differential equations (34C05) Bifurcation theory for ordinary differential equations (34C23) Population dynamics (general) (92D25) Stability of solutions to ordinary differential equations (34D20) Qualitative investigation and simulation of ordinary differential equation models (34C60)

Related Items (9)

Analysis on Dynamics of Delayed Intraguild Predation Model with Ratio-Dependent Functional Response ⋮ Takens-Bogdanov bifurcation for a ratio-dependent predation interaction involving prey-competition and predator-age ⋮ Spatiotemporal dynamics in a ratio-dependent predator-prey model with time delay near the Turing-Hopf bifurcation point ⋮ A note on global properties for a stage structured predator-prey model with mutual interference ⋮ Positive steady states of a ratio-dependent predator-prey system with cross-diffusion ⋮ Higher Codimension Bifurcation Analysis of Predator–Prey Systems with Nonmonotonic Functional Responses ⋮ Dynamics of a diffusive predator–prey system with ratio-dependent functional response and time delay ⋮ Bifurcation Analysis of a Diffusive Predator–Prey Model with Monod–Haldane Functional Response ⋮ The study on cyclicity of a class of cubic systems

Uses Software

• Sostools

Cites Work

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