Abstract
We discuss travelling-wave solutions of a system of coupled reaction-diffusion equations used by the authors to describe the macroscopic behaviour of fungal mycelia. Such systems have been used in a multitude of applications; and, in particular, Merkin and Needham (1990, Proc. R. Soc. Lond. A 430, 315-45) have studied a certain formulation as a model for generic isothermal chemical reactions. We show that an alternative analysis provides more complete results in ascertaining the conditions under which travelling-wave solutions exist and that it allows a wider range of parameter values to be considered; this is essential to the application considered in the present case. Numerical investigations of travelling-wave solutions and the related initial-value problem are included to motivate and extend the analysis.
| Original language | English |
|---|---|
| Pages (from-to) | 237-257 |
| Number of pages | 21 |
| Journal | IMA Journal of Applied Mathematics |
| Volume | 58 |
| Issue number | 3 |
| DOIs | |
| Publication status | Published - Jun 1997 |
ASJC Scopus subject areas
- General Mathematics
- Applied Mathematics
Fingerprint
Dive into the research topics of 'Travelling waves in a reaction-diffusion system modelling fungal mycelia'. Together they form a unique fingerprint.Cite this
- APA
- Author
- BIBTEX
- Harvard
- Standard
- RIS
- Vancouver