4.7 Article

Turing instability of periodic solutions for the Gierer-Meinhardt model with cross-diffusion

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Turing instability of the periodic solutions for reaction-diffusion systems with cross-diffusion and the patch model with cross-diffusion-like coupling

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Summary: This paper investigates how diffusion can destabilize spatially homogeneous periodic solutions, known as Turing instability. Formulas are established to determine Turing instability of periodic solutions with different diffusion rates, and an example of a chemical reaction model is provided to demonstrate the application of the results.

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