Traveling Waves of a Delayed Differential System in a Lattice

CAO Huarong; WU Shiliang

doi:10.21656/1000-0887.380165

Volume 39 Issue 5

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CAO Huarong, WU Shiliang. Traveling Waves of a Delayed Differential System in a Lattice[J]. Applied Mathematics and Mechanics, 2018, 39(5): 592-610. doi: 10.21656/1000-0887.380165

Citation:

CAO Huarong, WU Shiliang. Traveling Waves of a Delayed Differential System in a Lattice[J]. Applied Mathematics and Mechanics, 2018, 39(5): 592-610. doi: 10.21656/1000-0887.380165

Citation:

CAO Huarong, WU Shiliang. Traveling Waves of a Delayed Differential System in a Lattice[J]. Applied Mathematics and Mechanics, 2018, 39(5): 592-610. doi: 10.21656/1000-0887.380165

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Traveling Waves of a Delayed Differential System in a Lattice

doi: 10.21656/1000-0887.380165

School of Mathematics and Statistics, Xidian University, Xi’an 710071, P.R.China

Received Date: 2017-06-12
Rev Recd Date: 2017-09-06
Publish Date: 2018-05-15

Abstract

Abstract

The qualitative properties of traveling waves of a delayed differential system in a lattice with a quiescent stage were addressed. Under monostable and quasi-monotone assumptions, the existence of the traveling wave solutions were first established. Then, the asymptotic behavior, monotonicity and uniqueness of all wave profiles were proved. The exponential asymptotic stability of all non-critical traveling fronts was finally proved.
- traveling wave solution,
- lattice differential system,
- quiescent stage,
- delay

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References(25)

References

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