Spreading speed revisited: Analysis of a free boundary model | Zendy

Gary Bunting | Zendy; Yihong Du | Zendy; Krzysztof Krakowski | Zendy

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Spreading speed revisited: Analysis of a free boundary model

Author(s) -

Gary Bunting,

Yihong Du,

Krzysztof Krakowski

Publication year - 2012

Publication title -

networks and heterogeneous media

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.732

H-Index - 34

eISSN - 1556-181X

pISSN - 1556-1801

DOI - 10.3934/nhm.2012.7.583

Subject(s) - boundary (topology) , front (military) , range (aeronautics) , free boundary problem , population , boundary value problem , computer science , point (geometry) , mathematical optimization , mechanics , mathematics , mathematical analysis , physics , geometry , engineering , meteorology , aerospace engineering , demography , sociology

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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