The evolution of travelling wave-fronts in a hyperbolic Fisher model. I. The travelling wave theory |
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| Authors: | Needham, D. J. Leach, J. A. |
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| Affiliation: | School of Mathematics, University of Birmingham, Edgbaston, Birmingham, B15 2TT, UK |
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| Abstract: | In this paper, we consider an initial-value problem for a hyperbolicFisher equation. In particular, we consider the correspondingtravelling wave problem and establish the conditions under whichpermanent-form travelling wave solutions exist. Numerical simulationsof the initial-value problem are also presented. |
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| Keywords: | travelling wave-fronts hyperbolic Fisher model. |
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