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Juncheng Wei

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#diffusion models Open access Oct 2026

Localized Patterns in the Gierer Meinhardt Model on a Cycle Graph

Abstract. In this study, we provide a detailed analysis of the spike solutions and their stability for the Gierer–Meinhardt model on discrete lattices. We explore several phenomena that have no analogs in the continuum limit. For example in the discrete case, the system retains spike patterns even when diffusion of the...

Théodore Kolokolnikov, Juncheng Wei, Shuangquan Xie · 0 citations

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