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Dynamics for nonlocal diffusion problems with a free boundary and a fixed boundary | Lei Li
; Mingxin Wang
; | Date: |
27 May 2021 | Abstract: | In this paper, we first consider two scalar nonlocal diffusion problems with
a free boundary and a fixed boundary. We obtain the global existence,
uniqueness and longtime behaviour of solution of these two problems. The
spreading-vanishing dichotomy and sharp criteria for spreading and vanishing
are established. We also prove that accelerated spreading could happen if and
only if a threshold condition is violated by kernel function. Then we discuss a
classical Lotka-Volterra predator-prey model with nonlocal diffusions and a
free boundary which can be seen as nonlocal diffusion counterpart of the model
in the work of Wang (2014 J. Differential Equations extbf{256}, 3365-3394). | Source: | arXiv, 2105.13056 | Services: | Forum | Review | PDF | Favorites |
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