Md Shah Alam

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math.AP2026

Global Analysis of the Gray-Scott Model with Fractional-Classical Diffusion

Md Shah Alam

We analyze the Gray-Scott reaction--diffusion system on $I^c ◯ \subset R^{n}$ ( $n \geq 1$ ) with mixed diffusion combining local and nonlocal operators. Using semigroup methods and…

math.AP2026

Global Dynamics and Patterns of a Gray-Scott Model with Local-Nonlocal Diffusion

Md Shah Alam

This paper studies the global existence of component-wise nonnegative solutions of the Gray-Scott model in $I^c ◯ \subset R^{n}$ , $n \geq 1$ , with a mixture of both local and non…