The Emergence of Range Limits in Advective Environments

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dc.contributor.authorLam, King-Yeung
dc.contributor.authorLou, Yuan
dc.contributor.authorLutscher, Frithjof
dc.date.accessioned2018-06-20T19:25:27Z
dc.date.available2018-06-20T19:25:27Z
dc.date.issued2016
dc.identifier.issn0036-1399
dc.identifier.urihttp://hdl.handle.net/10393/37795
dc.description.abstractIn this paper, we study the asymptotic profile of the steady state of a reactiondiffusion-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 is sometimes subject to the effect of migration from upstream source patches
dc.language.isoen
dc.titleThe Emergence of Range Limits in Advective Environments
dc.typeArticle
dc.identifier.doi10.1137/15M1027887
CollectionMathématiques et statistiques // Mathematics and Statistics

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