Abstract
For a certain class of scalar reaction-diffusion equations, we show that any solution decays if the cylindrical domain's width is too narrow, whereas if it is sufficiently thick, there are solutions which lie and persist between two traveling wave fronts. These ideas are then generalized to a special class of reaction-diffusion systems occurring in the modeling of competing biological species.
Original language | English (US) |
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Pages (from-to) | 534-543 |
Number of pages | 10 |
Journal | SIAM Journal on Applied Mathematics |
Volume | 47 |
Issue number | 3 |
DOIs | |
State | Published - Jan 1 1987 |
Externally published | Yes |
ASJC Scopus subject areas
- Applied Mathematics