Existence of traveling wavefronts of discrete reaction-diffusion equations with delay
β Scribed by Xiaohuan Wang; Jihui Zhang
- Book ID
- 107619976
- Publisher
- Springer-Verlag
- Year
- 2009
- Tongue
- English
- Weight
- 450 KB
- Volume
- 35
- Category
- Article
- ISSN
- 1598-5865
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π SIMILAR VOLUMES
This paper is concerned with a reaction-diffusion system with spatio-temporal delay. Under the bistable assumptions, the existence of traveling wavefronts is established by transforming the system with spatio-temporal delay to a three-dimensional reactiondiffusion system without delay. The uniquenes
We establish the existence of a continuous family of fast positive wavefronts u(t, x) = Ο(x+ct), Ο(-β) = 0, Ο(+β) = ΞΊ, for the non-local delayed reaction-diffusion equation Here 0 and ΞΊ > 0 are fixed points of g β C 2 (R + , R + ) and the non-negative K is such that R K (w)e Ξ»w dw is finite for eve