Spreading speed revisited: Analysis of a free boundary model

descriptionPublicationkeyboard_double_arrow_right Article 01 Jan 2012 English Publisher:American Institute of Mathematical Sciences (AIMS)Journal:Networks & Heterogeneous Media, volume 7, pages 583-603 (issn: 1556-181X,

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Authors: Gary Bunting; Yihong Du; Krzysztof Krakowski;

doi: 10.3934/nhm.2012.7.583

Spreading speed revisited: Analysis of a free boundary model

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Abstract

We investigate, from a more ecological point of view, a free boundary model considered in [11] and [8] that describes the spreading of a new or invasive species, with the free boundary representing the spreading front. We derive the free boundary condition by considering a "population loss" at the spreading front, and correct some mistakes regarding the range of spreading speed in [11]. Then we use numerical simulation to gain further insights to the model, which may help to determine its usefulness in concrete ecological situations.

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