This paper is concerned with the nonlocal dispersal problem in inhomogeneous media. Our goal is to show the limiting behavior of perturbation equation with parameters. By analyzing the asymptotic behavior of solutions when the parameter is small, we find that convection appears in inhomogeneous media. Moreover, if the effect of inhomogeneous media changes, then we prove a convergence result that convection disappears in nonlocal dispersal problems.

中文翻译：

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非均匀介质中非局部扩散问题的极限解

本文关注的是非均匀介质中的非局部扩散问题。我们的目标是展示带参数的微扰方程的极限行为。通过分析参数较小时解的渐近行为，我们发现对流出现在非均匀介质中。此外，如果非均匀介质的影响发生变化，那么我们证明了对流在非局部扩散问题中消失的收敛结果。