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Spreading speed revisited: Analysis of a free boundarymodel

Gary BuntingUniversity of New England Armidale, NSW 2351, AustraliaYihong DuSchool of Science and TechnologyKrzysztof KrakowskiUniversity of New England Armidale, NSW 2351, Australia
2012en
ABI

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We investigate, from a more ecological point of view, a free boundary modelconsidered in [11] and [8] that describes the spreadingof a new or invasive species, with the free boundary representingthe spreading front. We derive the free boundary condition byconsidering a 'population loss' at the spreading front, andcorrect some mistakes regarding the range of spreading speed in[11]. Then we use numerical simulation to gain further insightsto the model, which may help to determine its usefulness in concreteecological situations.

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