Wang Jingjing. Turing-Hopf bifurcation analysis of a minimal sediment model with diffusion[J/OL]. Acta Scientiarum Naturalium Universitatis Sunyatseni, 2026, 1-9.
DOI:
Wang Jingjing. Turing-Hopf bifurcation analysis of a minimal sediment model with diffusion[J/OL]. Acta Scientiarum Naturalium Universitatis Sunyatseni, 2026, 1-9.DOI: 10.11714/acta.snus.ZR20260006.
Turing-Hopf bifurcation analysis of a minimal sediment model with diffusion
A minimal sediment model with diffusion is proposed. Firstly, the existence of Turing-Hopf bifurcation for the model is investigated; Secondly, the normal form of model at the Turing-Hopf bifurcation point is derived; Finally, the dynamics of model are analyzed by means of numerical results. The research indicates that near the Turing-Hopf bifurcation point, the model exhibits rich spatiotemporal dynamics, including the spatially homogeneous periodic solutions, spatially inhomogeneous periodic solutions and spatially inhomogeneous steady-state solutions.
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