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- Title
ASYMPTOTIC STABILITY OF TRAVELING FRONTS IN DELAYED REACTION-DIFFUSION MONOSTABLE EQUATIONS ON HIGHER-DIMENSIONAL LATTICES.
- Authors
HAI-QIN ZHAO
- Abstract
This article is concerned with traveling wave fronts for spatially discrete delayed reaction-diffusion equations on higher-dimensional lattices. Under the monostable assumption and some reasonable conditions, we prove the globally asymptotic stability of traveling wave fronts in the sense of phase shift by using the comparison principle and the squeezing technique.
- Subjects
NUMERICAL solutions to reaction-diffusion equations; TRAVELING waves (Physics); LATTICE theory; MATHEMATICAL analysis; MATHEMATICAL models
- Publication
Electronic Journal of Differential Equations, 2013, Vol 2013, p1
- ISSN
1550-6150
- Publication type
Article