The evolution of travelling wave-fronts in a hyperbolic Fisher model. I. The travelling wave theory

David Needham; John Leach

doi:10.1093/imamat/hxm059

The evolution of travelling wave-fronts in a hyperbolic Fisher model. I. The travelling wave theory

David Needham, John Leach

Mathematics

Research output: Contribution to journal › Article

10 Citations (Scopus)

Abstract

In this paper, we consider an initial-value problem for a hyperbolic Fisher equation. In particular, we consider the corresponding travelling wave problem and establish the conditions under which permanent-form travelling wave solutions exist. Numerical simulations of the initial-value problem are also presented.

Original language	English
Pages (from-to)	158-198
Number of pages	41
Journal	IMA Journal of Applied Mathematics
Volume	73
Issue number	1
Early online date	18 Oct 2007
DOIs	https://doi.org/10.1093/imamat/hxm059
Publication status	Published - 18 Oct 2008

Keywords

hyperbolic Fisher model
travelling wave-fronts

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10.1093/imamat/hxm059

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title = "The evolution of travelling wave-fronts in a hyperbolic Fisher model. I. The travelling wave theory",

abstract = "In this paper, we consider an initial-value problem for a hyperbolic Fisher equation. In particular, we consider the corresponding travelling wave problem and establish the conditions under which permanent-form travelling wave solutions exist. Numerical simulations of the initial-value problem are also presented.",

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AU - Leach, John

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AB - In this paper, we consider an initial-value problem for a hyperbolic Fisher equation. In particular, we consider the corresponding travelling wave problem and establish the conditions under which permanent-form travelling wave solutions exist. Numerical simulations of the initial-value problem are also presented.

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KW - travelling wave-fronts

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DO - 10.1093/imamat/hxm059

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The evolution of travelling wave-fronts in a hyperbolic Fisher model. I. The travelling wave theory

Abstract

Keywords

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