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Analytical solutions of a minimal model of species migration in a bounded domain

Feltham, DL; Chaplain, MAJ; (2000) Analytical solutions of a minimal model of species migration in a bounded domain. J MATH BIOL , 40 (4) 321 - 342.

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Abstract

A minimal model of species migration is presented which takes the form of a parabolic equation with boundary conditions and initial data. Solutions to the differential problem are obtained that can be used to describe the small- and large-time evolution of a species distribution within a bounded domain. These expressions are compared with the results of numerical simulations and are found to be satisfactory within appropriate temporal regimes. The solutions presented can be used to describe existing observations of nematode distributions, can be used as the basis for further work on nematode migration, and may also be interpreted more generally.

Type:Article
Title:Analytical solutions of a minimal model of species migration in a bounded domain
Keywords:analytical solution, species migration, chemotaxis-diffusion, bounded domain, TUMOR ANGIOGENESIS, MATHEMATICAL-MODEL, CHEMOTAXIS, INVASION, SAND
UCL classification:UCL > School of BEAMS > Faculty of Maths and Physical Sciences > Earth Sciences

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