# American Institute of Mathematical Sciences

December  2012, 7(4): 583-603. doi: 10.3934/nhm.2012.7.583

## Spreading speed revisited: Analysis of a free boundary model

 1 School of Science and Technology, University of New England, Armidale, NSW 2351, Australia, Australia, Australia

Received  January 2012 Revised  July 2012 Published  December 2012

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.
Citation: Gary Bunting, Yihong Du, Krzysztof Krakowski. Spreading speed revisited: Analysis of a free boundary model. Networks & Heterogeneous Media, 2012, 7 (4) : 583-603. doi: 10.3934/nhm.2012.7.583
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