Travelling waves in a model of species migration

D. L. Feltham; M. A. J. Chaplain

doi:10.1016/S0893-9659(00)00079-3

Travelling waves in a model of species migration

D. L. Feltham, M. A. J. Chaplain (Lead / Corresponding author)

Research output: Contribution to journal › Article › peer-review

19 Citations (Scopus)

Abstract

A model of species migration is presented which takes the form of a reaction-diffusion system. We consider special limits of this model in which we demonstrate the existence of travelling wave solutions. These solutions can be used to describe the migration of cells, bacteria, and some organisms.

Original language	English
Pages (from-to)	67-73
Number of pages	7
Journal	Applied Mathematics Letters
Volume	13
Issue number	7
DOIs	https://doi.org/10.1016/S0893-9659(00)00079-3
Publication status	Published - 2000

Keywords

Travelling waves
Migration
Asymptotics
Exact solutions

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10.1016/S0893-9659(00)00079-3

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title = "Travelling waves in a model of species migration",

abstract = "A model of species migration is presented which takes the form of a reaction-diffusion system. We consider special limits of this model in which we demonstrate the existence of travelling wave solutions. These solutions can be used to describe the migration of cells, bacteria, and some organisms.",

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AU - Chaplain, M. A. J.

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AB - A model of species migration is presented which takes the form of a reaction-diffusion system. We consider special limits of this model in which we demonstrate the existence of travelling wave solutions. These solutions can be used to describe the migration of cells, bacteria, and some organisms.

KW - Travelling waves

KW - Migration

KW - Asymptotics

KW - Exact solutions

U2 - 10.1016/S0893-9659(00)00079-3

DO - 10.1016/S0893-9659(00)00079-3

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VL - 13

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EP - 73

JO - Applied Mathematics Letters

JF - Applied Mathematics Letters

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Travelling waves in a model of species migration

Abstract

Keywords

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