Existence, uniqueness and stability of travelling waves in a discrete reaction–diffusion monostable equation with delay
By Shiwang Ma, Xingfu Zou. 2005
149 citations recorded by the source corpus.
Subfields: Applied Mathematics, Computational Theory and Mathematics, Public Health, Environmental and Occupational Health
View Paper: https://www.semanticscholar.org/paper/7dc8233c4639212133d88549cd83acc9c316437b
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In Applied Mathematics
In Computational Theory and Mathematics
- Wan-Tong Li
- Shigui Ruan
- Zhi-Cheng Wang
- Peixuan Weng
- Wenxian Shen
- Xingfu Zou
- Shiwang Ma
- Xiao-Qiang Zhao
In Public Health, Environmental and Occupational Health
Citations in the corpus
- Spreading speeds and travelling waves for non-monotone time-delayed lattice equations (2010, background): “Ma & Zou (2005) then established the uniqueness (up to translation) and stability of travelling waves for the local case (i.e. b(k) = 0 for all k = 0) of equation (1.1) with monotone birth functions.”
- Asymptotic speed of propagation and traveling wavefronts in a non-local delayed lattice differential equation (2006, methodology): “Encouraged by the work of Chen and Guo [10,11], and Carr and Chmaj [9], more recently, Ma and Zou [23] obtained the minimal wave speed for the following delayed lattice differential system”
- Traveling Fronts in Monostable Equations with Nonlocal Delayed Effects (2008, methodology): “Wu and Zou [47] considered more general reaction–diffusion systems with finite delay using the classical monotone iteration technique coupled with the sub- and supersolutions method.”
- Existence, Uniqueness, and Stability of Generalized Traveling Waves in Time Dependent Monostable Equations (2011, background): “... independent reaction diffusion equations of KPP type; see [5–7,14,21,27,29,32,36,37,40,44,67], and references therein for space and/or time periodic reaction diffusion equations of KPP type; see [14,18, 33,38,39,63,64],andreferencesthereinforKPPmodelsinrandommedia;see[28,30,59,60], andreferences”