Hopf bifurcation of a diffusive Gause‐type predator‐prey model induced by time fractional‐order derivatives

DOI10.1002/mma.5066zbMath1397.92609OpenAlexW2800670538WikidataQ129894286 ScholiaQ129894286MaRDI QIDQ4581135

Xiaoqing Wen, Hong-Wei Yin

Publication date: 23 August 2018

Published in: Mathematical Methods in the Applied Sciences (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1002/mma.5066

zbMATH Keywords

stabilityHopf bifurcationpredator-prey modelfractional-order derivative

Mathematics Subject Classification ID

Population dynamics (general) (92D25) Fractional derivatives and integrals (26A33) Bifurcations in context of PDEs (35B32)

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A predator-prey model with cooperative hunting in the predator and group defense in the prey ⋮ Asymptotic stability conditions for autonomous time-fractional reaction-diffusion systems ⋮ Mathematical analysis of the influence of prey escaping from prey herd on three species fractional predator-prey interaction model

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