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<p>We consider the diffusive semi-linear problem featuring a nonlocal dispersal operator, where the spatial degeneracy occurs in the nonlinear function. By employing a small parameter in the nonlinear reaction term, we study the asymptotic patterns for the positive solutions. Eventually, we prove that quite different new patterns appear in the degenerate perturbation nonlocal dispersal equations.</p>

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Blow-up profiles for the positive solution of nonlocal dispersal equation

  • 期刊论文

  • 发表日期：

    2025年9月8日

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  • Jian-Wen Sun

摘要

We consider the diffusive semi-linear problem featuring a nonlocal dispersal operator, where the spatial degeneracy occurs in the nonlinear function. By employing a small parameter in the nonlinear reaction term, we study the asymptotic patterns for the positive solutions. Eventually, we prove that quite different new patterns appear in the degenerate perturbation nonlocal dispersal equations.