Stability of Traveling Wave Fronts for Nonlocal Delayed Reaction Diffusion Systems

Guangying Lv; Xiaohuan Wang

doi:10.4171/zaa/1523

Stability of Traveling Wave Fronts for Nonlocal Delayed Reaction Diffusion Systems

Zeitschrift für Analysis und ihre Anwendungen ◽

10.4171/zaa/1523 ◽

2014 ◽

Vol 33 (4) ◽

pp. 463-480 ◽

Cited By ~ 3

Author(s):

Guangying Lv ◽

Xiaohuan Wang

Keyword(s):

Traveling Wave ◽

Reaction Diffusion ◽

Wave Fronts ◽

Delayed Reaction ◽

Reaction Diffusion Systems ◽

Traveling Wave Fronts ◽

Diffusion Systems

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Existence of traveling wave fronts in delayed reaction-diffusion systems via the monotone iteration method

Proceedings of the American Mathematical Society ◽

10.1090/s0002-9939-97-04080-x ◽

1997 ◽

Vol 125 (9) ◽

pp. 2589-2598 ◽

Cited By ~ 49

Author(s):

Xingfu Zou ◽

Jianhong Wu

Keyword(s):

Traveling Wave ◽

Iteration Method ◽

Reaction Diffusion ◽

Wave Fronts ◽

Delayed Reaction ◽

Reaction Diffusion Systems ◽

Traveling Wave Fronts ◽

Monotone Iteration ◽

Diffusion Systems

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Nonlinear stability of traveling wave fronts for delayed reaction diffusion systems

Nonlinear Analysis Real World Applications ◽

10.1016/j.nonrwa.2011.12.013 ◽

2012 ◽

Vol 13 (4) ◽

pp. 1854-1865 ◽

Cited By ~ 10

Author(s):

Guangying Lv ◽

Mingxin Wang

Keyword(s):

Nonlinear Stability ◽

Traveling Wave ◽

Reaction Diffusion ◽

Wave Fronts ◽

Delayed Reaction ◽

Reaction Diffusion Systems ◽

Traveling Wave Fronts ◽

Diffusion Systems

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Traveling wave fronts in reaction-diffusion systems with spatio-temporal delay and applications

Discrete & Continuous Dynamical Systems - B ◽

10.3934/dcdsb.2010.13.709 ◽

2010 ◽

Vol 13 (3) ◽

pp. 709-728 ◽

Cited By ~ 14

Author(s):

Zhi-Xian Yu ◽

◽

Rong Yuan

Keyword(s):

Traveling Wave ◽

Reaction Diffusion ◽

Temporal Delay ◽

Wave Fronts ◽

Reaction Diffusion Systems ◽

Traveling Wave Fronts ◽

Diffusion Systems ◽

Spatio Temporal

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Erratum to “Traveling Wave Fronts of Reaction-Diffusion Systems with Delays” [J. Dynam. Diff. Eq. 13, 651, 687 (2001)]

Journal of Dynamics and Differential Equations ◽

10.1007/s10884-007-9090-1 ◽

2007 ◽

Vol 20 (2) ◽

pp. 531-533 ◽

Cited By ~ 21

Author(s):

Jianhong Wu ◽

Xingfu Zou

Keyword(s):

Traveling Wave ◽

Reaction Diffusion ◽

Wave Fronts ◽

Reaction Diffusion Systems ◽

Traveling Wave Fronts ◽

Diffusion Systems

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Traveling wave solutions in delayed reaction–diffusion systems with mixed monotonicity

Journal of Computational and Applied Mathematics ◽

10.1016/j.cam.2009.11.002 ◽

2010 ◽

Vol 233 (10) ◽

pp. 2549-2562 ◽

Cited By ~ 18

Author(s):

Qi-Ru Wang ◽

Kai Zhou

Keyword(s):

Traveling Wave ◽

Traveling Wave Solutions ◽

Reaction Diffusion ◽

Delayed Reaction ◽

Reaction Diffusion Systems ◽

Wave Solutions ◽

Diffusion Systems

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Traveling wave solutions in delayed reaction diffusion systems with applications to multi-species models

Discrete & Continuous Dynamical Systems - B ◽

10.3934/dcdsb.2010.13.393 ◽

2010 ◽

Vol 13 (2) ◽

pp. 393-414 ◽

Cited By ~ 36

Author(s):

Guo Lin ◽

◽

Wan-Tong Li ◽

Mingju Ma ◽

Keyword(s):

Traveling Wave ◽

Traveling Wave Solutions ◽

Reaction Diffusion ◽

Delayed Reaction ◽

Reaction Diffusion Systems ◽

Wave Solutions ◽

Diffusion Systems

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Traveling wave solutions inn-dimensional delayed reaction–diffusion systems with mixed monotonicity

Journal of Computational and Applied Mathematics ◽

10.1016/j.cam.2012.11.007 ◽

2013 ◽

Vol 243 ◽

pp. 16-27 ◽

Cited By ~ 10

Author(s):

Yuan Lin ◽

Qi-Ru Wang ◽

Kai Zhou

Keyword(s):

Traveling Wave ◽

Traveling Wave Solutions ◽

Reaction Diffusion ◽

Delayed Reaction ◽

Reaction Diffusion Systems ◽

Wave Solutions ◽

Diffusion Systems

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Traveling wave solutions ofn-dimensional delayed reaction-diffusion systems and application to four-dimensional predator-prey systems

Mathematical Methods in the Applied Sciences ◽

10.1002/mma.3595 ◽

2016 ◽

Vol 39 (6) ◽

pp. 1607-1620 ◽

Cited By ~ 3

Author(s):

Xiaohui Shang ◽

Zengji Du ◽

Xiaojie Lin

Keyword(s):

Traveling Wave ◽

Traveling Wave Solutions ◽

Reaction Diffusion ◽

Delayed Reaction ◽

Predator Prey ◽

Reaction Diffusion Systems ◽

Wave Solutions ◽

Diffusion Systems

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Traveling wave solutions in nonlocal delayed reaction-diffusion systems with partial quasimonotonicity

Mathematical Methods in the Applied Sciences ◽

10.1002/mma.5114 ◽

2018 ◽

Vol 41 (15) ◽

pp. 5989-6016 ◽

Cited By ~ 1

Author(s):

Kun Li ◽

Xiong Li

Keyword(s):

Traveling Wave ◽

Traveling Wave Solutions ◽

Reaction Diffusion ◽

Delayed Reaction ◽

Reaction Diffusion Systems ◽

Wave Solutions ◽

Diffusion Systems

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Nonlinear stability of traveling wave fronts for nonlocal delayed reaction–diffusion equations

Journal of Mathematical Analysis and Applications ◽

10.1016/j.jmaa.2011.07.033 ◽

2012 ◽

Vol 385 (2) ◽

pp. 1094-1106 ◽

Cited By ~ 18

Author(s):

Guangying Lv ◽

Mingxin Wang

Keyword(s):

Nonlinear Stability ◽

Traveling Wave ◽

Reaction Diffusion ◽

Reaction Diffusion Equations ◽

Diffusion Equations ◽

Wave Fronts ◽

Delayed Reaction ◽

Traveling Wave Fronts

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