Abstract
In this paper we consider an initial boundary-value problem for a weakly hyperbolic generalized Fisher equation of order p > 0. We show that for each p > 0 the large time structure of the solution involves the evolution of a propagating wavefront. However, we demonstrate that the case p = 1 is a bifurcation point in the sense that for p greater than or equal to 1 the wavefront is of reaction-diffusion type, while for 0 <p <1, then the wavefront is of reaction-relaxation type.
Original language | English |
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Pages (from-to) | 1055-1088 |
Number of pages | 34 |
Journal | Royal Society of London. Proceedings A. Mathematical, Physical and Engineering Sciences |
Volume | 458 |
DOIs | |
Publication status | Published - 8 May 2002 |
Keywords
- weakly hyperbolic Fisher model
- reaction-relaxation waves
- reaction-diffusion waves