期刊
SIAM JOURNAL ON APPLIED MATHEMATICS
卷 76, 期 2, 页码 641-662出版社
SIAM PUBLICATIONS
DOI: 10.1137/15M1027887
关键词
reaction diffusion; advection; range limit; transition layer; dispersal
资金
- NSF [DMS-1411476]
- Fundamental Research Funds for the Central Universities
- Renmin University of China
- NSERC
- Direct For Mathematical & Physical Scien
- Division Of Mathematical Sciences [1411476] Funding Source: National Science Foundation
In this paper, we study the asymptotic profile of the steady state of a reaction-diffusion-advection model in ecology proposed in [E. Pachepsky et al., Theoret. Popul. Biol., 67 (2005), pp. 61-73; D. Speirs and W. Gurney, Ecology, 82 (2001), pp. 1219-1237]. The model describes the population dynamics of a single species experiencing a unidirectional flow. We show the existence of one or more internal transition layers and determine their locations. Such locations can be understood as the upstream invasion limits of the species. It turns out that these invasion limits are connected to the upstream spreading speed of the species and are sometimes subject to the effect of migration from upstream source patches.
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