Travelling waves for delayed reaction–diffusion equations with global response
By Teresa Faria, Wenzhang Huang, Jianhong Wu. Proceedings of the Royal Society A, 2005
150 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/4d0c1067e39dd621bf39352352c17bd2f754c072
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Citations in the corpus
- Traveling Fronts in Monostable Equations with Nonlocal Delayed Effects (2008, methodology): “[16] developed a new approach to obtain the existence of traveling wave solutions for delayed monostable reaction–diffusion equations with global response, which is based on a combination of some nonlinear perturbation analysis, the Fredholm theory and the Banach fixed point theorem, so that the exi”
- Existence and uniqueness of traveling waves for non-monotone integral equations with applications (2010, methodology): “Faria, Huang and Wu [9], also using the perturbation method, obtained the existence of traveling waves with large wave speed for time-delayed nonlocal reaction–diffusion equations.”
- Bistable wavefronts in a diffusive and competitive Lotka-Volterra type system with nonlocal delays (2008, background): “[12], Gourley and Kuang [17], Li and Wang [29], Li and Wu [30], Wang and Li [56], Wang et al.”
- On the existence of traveling waves for delayed reaction–diffusion equations☆ (2009, background): “Related results can also be found in [5,21].”
- Traveling waves for non-local delayed diffusion equations via auxiliary equations☆ (2007, background): “Recently, it has been shown in [3] that if e < p d e2, then there exist r∗ > 0 and a sufficiently large c∗ > 0 such that for every c > c∗, Eq.”
- Spreading speeds and travelling waves for non-monotone time-delayed lattice equations (2010, background): “Recently, there have been increasing efforts on the existence of travelling waves for non-monotone delayed evolution equations (Wu & Zou 2001; Faria & Trofimchuk 2006; Faria et al. 2006; Ou & Wu 2007), in which these authors showed the existence for sufficiently large wave speeds or small delays.”
- Traveling wave solutions in delayed reaction diffusion systems with applications to multi-species models (2009, methodology): “For scalar equations with diffusion and delays, the existence of traveling wave solutions has been widely studied by using the comparison principle [29, 30, 31, 42, 46, 47, 51, 55, 57, 65] and perturbation method [3, 6, 7, 34].”