Abstract
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.
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Acknowledgements
The author thanks Professors Wan-Tong Li (Lanzhou University) and Wenxian Shen (Auburn University) for encouragement and useful discussions. This work was partially supported by NSF of China through the Grant 11731005.
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Sun, JW. Limiting Solutions of Nonlocal Dispersal Problem in Inhomogeneous Media. J Dyn Diff Equat 34, 1489–1504 (2022). https://doi.org/10.1007/s10884-021-10012-6
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DOI: https://doi.org/10.1007/s10884-021-10012-6