In this paper, the Sobolev embedding theorem, Holder inequality, the Lebesgue contrl\nconvergence theorem, the operator norm estimation technique, and critical point theory are employed\nto prove the existence of nontrivial stationary solution for p-Laplacian diffusion system with\ndistributed delays. Furthermore, by giving the definition of pth moment stability, the authors use\nthe Lyapunovfunctional method and Kamke function to derive the stability of nontrivialstationary\nsolution. Moreover, a numerical example illuminates the effectiveness of the proposed methods.\nFinally, an interesting further thought is put forward, which is conducive to the in-depth study of\nthe problem.
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