Delay induced traveling wave fronts in reaction diffusion equations of KPP-Fisher type
By Xingfu Zou. 2002
81 citations recorded by the source corpus.
Subfields: Computer Networks and Communications, Genetics, Public Health, Environmental and Occupational Health
View Paper: https://www.semanticscholar.org/paper/bb05a84218c9d600e7886b26a66fb523ea4bf27e
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In Computer Networks and Communications
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In Public Health, Environmental and Occupational Health
Citations in the corpus
- Travelling wave fronts in reaction-diffusion systems with spatio-temporal delays (2006, background): “Reviewer: Sen-Zhong Huang (Hamburg) MSC: 35K57 Reaction-diffusion equations 34K12 Growth, boundedness, comparison of solutions to functional- differential equations Cited in 8 Reviews Cited in 139 Documents”
- Entire solutions in monostable reaction-diffusion equations with delayed nonlinearity (2008, background): “In particular, their speed c∗ > 0 (see also [18,19,25,28,29,33,41]) coincides with what to be defined in our Lemma 2.”
- Monotone traveling wavefronts of the KPP-Fisher delayed equation (2010, background): “However, since the right-hand side of this equation is monotone increasing with respect to the delayed term, the theory of this equation is fairly different (and seems to be simpler) from the theory of (3), see [30,35,38].”
- A pseudospectral method of solution of Fisher's equation (2006, background): “The study in [59] was concerned with another modified form of FE including time delay and the work in [44] considered finite elements for a two-dimensional FE.”
- Traveling wave fronts for generalized Fisher equations with spatio-temporal delays (2007, unknown): “See [1,3,4,9,12–14,16,19,21,23–27] and the references therein.”
- Traveling Fronts in Monostable Equations with Nonlocal Delayed Effects (2008, background): “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.”
- Traveling Wave Solutions for Delayed Reaction–Diffusion Systems and Applications to Diffusive Lotka–Volterra Competition Models with Distributed Delays (2014, unknown): “We first consider the example in Zou [41].”
- Existence, uniqueness and stability of travelling waves in a discrete reaction–diffusion monostable equation with delay (2005, background): “From c∗(r) < c∗(0), one concludes that delay can induce (slower) travelling wavefronts, a phenomenon also observed in Zou [29] for a continuous delay reaction–diffusion equation.”
- Traveling wave solutions in delayed reaction diffusion systems with applications to multi-species models (2009, methodology): “[66] X. Zou and J. Wu, Existence of traveling wave fronts in delayed reaction-diffusion systems via the monotone iteration method, Proc.”