Turing Instability of Gray-Scott Reaction-Diffusion Model with Time Delay Effects
نویسندگان
چکیده
The reaction diffusion Gray-Scott model with time delay is put forward the assumption of Neumann boundary condition satisfied. Based on Turing bifurcation condition, curves two parameter plane are discussed without delay. normal form computed via applying Lyapunov-Schmidt reduction method in system PDE, and bifurcating direction pitchfork underlying codimension-1 singularity point computed. continuation Pitchfork simulated varying free continuously near turing point, which coincidence theoritical analysis results. wave pattern formation case instability also discover oscillation phenomena from periodicity to irregularity.
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ژورنال
عنوان ژورنال: International Journal of Modern Nonlinear Theory and Application
سال: 2023
ISSN: ['2167-9487', '2167-9479']
DOI: https://doi.org/10.4236/ijmnta.2023.122004