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Spreading speed revisited: Analysis of a free boundary model

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225 Citations (Scopus)

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.
Original languageEnglish
Pages (from-to)583-603
JournalNetworks and Heterogeneous Media
Volume7
Issue number4
DOIs
Publication statusPublished - 2012

Keywords

  • Partial Differential Equations

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