Asymptotic stability of traveling fronts in delayed reaction-diffusion monostable equations on higher-dimensional lattices
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 pha...
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Texas State University
2013-05-01
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| Series: | Electronic Journal of Differential Equations |
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| Online Access: | http://ejde.math.txstate.edu/Volumes/2013/119/abstr.html |
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doaj-d5bcc0bb26ba4b5ba2d2560e06933bc52020-11-24T22:29:37ZengTexas State UniversityElectronic Journal of Differential Equations1072-66912013-05-012013119,115Asymptotic stability of traveling fronts in delayed reaction-diffusion monostable equations on higher-dimensional latticesHai-Qin ZhaoThis 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. http://ejde.math.txstate.edu/Volumes/2013/119/abstr.htmlTraveling wave frontlattice differential equationdelaymonostable nonlinearity |
| collection |
DOAJ |
| language |
English |
| format |
Article |
| sources |
DOAJ |
| author |
Hai-Qin Zhao |
| spellingShingle |
Hai-Qin Zhao Asymptotic stability of traveling fronts in delayed reaction-diffusion monostable equations on higher-dimensional lattices Electronic Journal of Differential Equations Traveling wave front lattice differential equation delay monostable nonlinearity |
| author_facet |
Hai-Qin Zhao |
| author_sort |
Hai-Qin Zhao |
| title |
Asymptotic stability of traveling fronts in delayed reaction-diffusion monostable equations on higher-dimensional lattices |
| title_short |
Asymptotic stability of traveling fronts in delayed reaction-diffusion monostable equations on higher-dimensional lattices |
| title_full |
Asymptotic stability of traveling fronts in delayed reaction-diffusion monostable equations on higher-dimensional lattices |
| title_fullStr |
Asymptotic stability of traveling fronts in delayed reaction-diffusion monostable equations on higher-dimensional lattices |
| title_full_unstemmed |
Asymptotic stability of traveling fronts in delayed reaction-diffusion monostable equations on higher-dimensional lattices |
| title_sort |
asymptotic stability of traveling fronts in delayed reaction-diffusion monostable equations on higher-dimensional lattices |
| publisher |
Texas State University |
| series |
Electronic Journal of Differential Equations |
| issn |
1072-6691 |
| publishDate |
2013-05-01 |
| description |
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. |
| topic |
Traveling wave front lattice differential equation delay monostable nonlinearity |
| url |
http://ejde.math.txstate.edu/Volumes/2013/119/abstr.html |
| work_keys_str_mv |
AT haiqinzhao asymptoticstabilityoftravelingfrontsindelayedreactiondiffusionmonostableequationsonhigherdimensionallattices |
| _version_ |
1725743988888043520 |