Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
838829 | Nonlinear Analysis: Real World Applications | 2009 | 12 Pages |
Abstract
This paper is concerned with the existence of traveling wave solutions for delayed reaction diffusion systems which contain the competition diffusion systems with time lags. By using a cross iteration scheme, we reduce the existence of traveling wave solutions to the existence of a pair of admissible upper and lower solutions, which also provides a constructive process of the traveling wave solutions. To illustrate our conclusion, we consider a delayed diffusion system with the Gilpin–Ayala type nonlinearity and establish the existence of its traveling wave solutions, which cannot be answered by the existing results.
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Authors
Shuxia Pan,