Non-local dispersal

M. Grinfeld, G. Hines, V. Hutson, K. Mischaikov, G. T. Vickers

Research output: Contribution to journalArticle

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.
LanguageEnglish
Pages1299-1320
Number of pages21
JournalDifferential Integral Equations
Volume18
Issue number11
Publication statusPublished - 2005

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Materials Science
Materials science
Reaction-diffusion Equations
Integral Operator
Partial differential equations
Biology
Partial differential equation
Scalar
Term
Model

Keywords

  • partial differential equations
  • reaction-diffusion equations
  • differential equations

Cite this

Grinfeld, M., Hines, G., Hutson, V., Mischaikov, K., & Vickers, G. T. (2005). Non-local dispersal. Differential Integral Equations, 18(11), 1299-1320.
Grinfeld, M. ; Hines, G. ; Hutson, V. ; Mischaikov, K. ; Vickers, G. T. / Non-local dispersal. In: Differential Integral Equations. 2005 ; Vol. 18, No. 11. pp. 1299-1320.
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Grinfeld, M, Hines, G, Hutson, V, Mischaikov, K & Vickers, GT 2005, 'Non-local dispersal' Differential Integral Equations, vol. 18, no. 11, pp. 1299-1320.

Non-local dispersal. / Grinfeld, M.; Hines, G.; Hutson, V.; Mischaikov, K.; Vickers, G. T.

In: Differential Integral Equations, Vol. 18, No. 11, 2005, p. 1299-1320.

Research output: Contribution to journalArticle

TY - JOUR

T1 - Non-local dispersal

AU - Grinfeld, M.

AU - Hines, G.

AU - Hutson, V.

AU - Mischaikov, K.

AU - Vickers, G. T.

PY - 2005

Y1 - 2005

N2 - 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.

AB - 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.

KW - partial differential equations

KW - reaction-diffusion equations

KW - differential equations

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M3 - Article

VL - 18

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EP - 1320

JO - Differential Integral Equations

T2 - Differential Integral Equations

JF - Differential Integral Equations

SN - 0893-4983

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ER -

Grinfeld M, Hines G, Hutson V, Mischaikov K, Vickers GT. Non-local dispersal. Differential Integral Equations. 2005;18(11):1299-1320.