Bogdanov-Takens bifurcation with \(Z_2\) symmetry and spatiotemporal dynamics in diffusive Rosenzweig-MacArthur model involving nonlocal prey competition
DOI10.3934/dcds.2022031zbMath1494.35023OpenAlexW4225908045WikidataQ113201480 ScholiaQ113201480MaRDI QIDQ2155712
Weihua Jiang, Xun Cao, Xianyong Chen
Publication date: 15 July 2022
Published in: Discrete and Continuous Dynamical Systems (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.3934/dcds.2022031
normal formnonlocal interactionBogdanov-Takens bifurcation with \(Z_2\) symmetrydiffusive Rosenzweig-MacArthur predator-prey modeltri-stable nonuniform patterns
Stability in context of PDEs (35B35) Bifurcations in context of PDEs (35B32) Normal forms, center manifold theory, bifurcation theory for infinite-dimensional dissipative dynamical systems (37L10) Semilinear parabolic equations (35K58) Integro-partial differential equations (35R09) Initial-boundary value problems for second-order parabolic systems (35K51) Pattern formations in context of PDEs (35B36)
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