The Mathematical Institute, University of Oxford, Eprints Archive

On the spatial spread of the grey squirrel in Britain

Okubo, A. and Maini, P. K. and Williamson, M. H. and Murray, J. D. (1989) On the spatial spread of the grey squirrel in Britain. Proceedings of the Royal Society London B, 238 (1291). pp. 113-125. ISSN 0080-4649

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Abstract

We present a diffusion-competition model to describe the mteraction between the externally introduced grey squirrel and the indigenous red squirrel in Britain. We estimate the model parameters from field data. Solution of the model predicts waves of grey squirrel invasion with speed of invasion typical of that observed in the field. Numerical solution of the model on a two-dimensional domain gives population distributions qualitatively similar to those observed. We suggest that competition alone could account for the observed displacement of the red squirrel by the grey in large regions of Britain. The solutions are qualitatively similar to those for a single species spreading in the absence of competition. The quantitative difference is because competition slows down the speed of advance of the invading species.

Item Type:Article
Uncontrolled Keywords:n/a
Subjects:A - C > Biology and other natural sciences
Research Groups:Centre for Mathematical Biology
ID Code:523
Deposited By:Philip Maini
Deposited On:15 Dec 2006
Last Modified:20 Jul 2009 14:22

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