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Non-local dispersal

Grinfeld, M. and Hines, G. and Hutson, V. and Mischaikov, K. and Vickers, G. T. (2005) Non-local dispersal. Differential Integral Equations, 18 (11). pp. 1299-1320. ISSN 0893-4983

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Abstract

We consider a model of spatial spread that has applications in both material science and biology. The classical models are based upon partial differential equations, in particular reaction-diffusion equations. Here the dispersal term is given in terms of an integral operator and we restrict ourselves to the scalar case.