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Novel stability results for traveling wavefronts in an agestructured reactiondiffusion equation
1.  Department of Mathematics, Champlain College SaintLambert, SaintLambert, Quebec, J4P 3P2 
2.  Department of Mathematical and Statistical Sciences, University of Alberta, Edmonton, Alberta, T6G 2G1, Canada 
[1] 
Ming Mei. Stability of traveling wavefronts for timedelayed reactiondiffusion equations. Conference Publications, 2009, 2009 (Special) : 526535. doi: 10.3934/proc.2009.2009.526 
[2] 
Yicheng Jiang, Kaijun Zhang. Stability of traveling waves for nonlocal timedelayed reactiondiffusion equations. Kinetic & Related Models, 2018, 11 (5) : 12351253. doi: 10.3934/krm.2018048 
[3] 
Guangrui Li, Ming Mei, Yau Shu Wong. Nonlinear stability of traveling wavefronts in an agestructured reactiondiffusion population model. Mathematical Biosciences & Engineering, 2008, 5 (1) : 85100. doi: 10.3934/mbe.2008.5.85 
[4] 
Yanbin Tang, Ming Wang. A remark on exponential stability of timedelayed Burgers equation. Discrete & Continuous Dynamical Systems  B, 2009, 12 (1) : 219225. doi: 10.3934/dcdsb.2009.12.219 
[5] 
Qi An, Weihua Jiang. Spatiotemporal attractors generated by the TuringHopf bifurcation in a timedelayed reactiondiffusion system. Discrete & Continuous Dynamical Systems  B, 2019, 24 (2) : 487510. doi: 10.3934/dcdsb.2018183 
[6] 
Jianhua Huang, Xingfu Zou. Existence of traveling wavefronts of delayed reaction diffusion systems without monotonicity. Discrete & Continuous Dynamical Systems  A, 2003, 9 (4) : 925936. doi: 10.3934/dcds.2003.9.925 
[7] 
ShiLiang Wu, TongChang Niu, ChengHsiung Hsu. Global asymptotic stability of pushed traveling fronts for monostable delayed reactiondiffusion equations. Discrete & Continuous Dynamical Systems  A, 2017, 37 (6) : 34673486. doi: 10.3934/dcds.2017147 
[8] 
Zhaosheng Feng. Traveling waves to a reactiondiffusion equation. Conference Publications, 2007, 2007 (Special) : 382390. doi: 10.3934/proc.2007.2007.382 
[9] 
Dalibor Pražák. Exponential attractor for the delayed logistic equation with a nonlinear diffusion. Conference Publications, 2003, 2003 (Special) : 717726. doi: 10.3934/proc.2003.2003.717 
[10] 
ZhaoXing Yang, GuoBao Zhang, Ge Tian, Zhaosheng Feng. Stability of nonmonotone noncritical traveling waves in discrete reactiondiffusion equations with time delay. Discrete & Continuous Dynamical Systems  S, 2017, 10 (3) : 581603. doi: 10.3934/dcdss.2017029 
[11] 
WeiJie Sheng, WanTong Li. Multidimensional stability of timeperiodic planar traveling fronts in bistable reactiondiffusion equations. Discrete & Continuous Dynamical Systems  A, 2017, 37 (5) : 26812704. doi: 10.3934/dcds.2017115 
[12] 
Xiaojie Hou, Yi Li. Local stability of travelingwave solutions of nonlinear reactiondiffusion equations. Discrete & Continuous Dynamical Systems  A, 2006, 15 (2) : 681701. doi: 10.3934/dcds.2006.15.681 
[13] 
Rui Huang, Ming Mei, Kaijun Zhang, Qifeng Zhang. Asymptotic stability of nonmonotone traveling waves for timedelayed nonlocal dispersion equations. Discrete & Continuous Dynamical Systems  A, 2016, 36 (3) : 13311353. doi: 10.3934/dcds.2016.36.1331 
[14] 
WeiJian Bo, Guo Lin, Shigui Ruan. Traveling wave solutions for time periodic reactiondiffusion systems. Discrete & Continuous Dynamical Systems  A, 2018, 38 (9) : 43294351. doi: 10.3934/dcds.2018189 
[15] 
Zhenguo Bai, Tingting Zhao. Spreading speed and traveling waves for a nonlocal delayed reactiondiffusion system without quasimonotonicity. Discrete & Continuous Dynamical Systems  B, 2018, 23 (10) : 40634085. doi: 10.3934/dcdsb.2018126 
[16] 
Perla El Kettani, Danielle Hilhorst, Kai Lee. A stochastic mass conserved reactiondiffusion equation with nonlinear diffusion. Discrete & Continuous Dynamical Systems  A, 2018, 38 (11) : 56155648. doi: 10.3934/dcds.2018246 
[17] 
Tomás Caraballo, José A. Langa, James C. Robinson. Stability and random attractors for a reactiondiffusion equation with multiplicative noise. Discrete & Continuous Dynamical Systems  A, 2000, 6 (4) : 875892. doi: 10.3934/dcds.2000.6.875 
[18] 
Weijiu Liu. Asymptotic behavior of solutions of timedelayed Burgers' equation. Discrete & Continuous Dynamical Systems  B, 2002, 2 (1) : 4756. doi: 10.3934/dcdsb.2002.2.47 
[19] 
CuiPing Cheng, WanTong Li, ZhiCheng Wang. Asymptotic stability of traveling wavefronts in a delayed population model with stage structure on a twodimensional spatial lattice. Discrete & Continuous Dynamical Systems  B, 2010, 13 (3) : 559575. doi: 10.3934/dcdsb.2010.13.559 
[20] 
ShiLiang Wu, WanTong Li, SanYang Liu. Exponential stability of traveling fronts in monostable reactionadvectiondiffusion equations with nonlocal delay. Discrete & Continuous Dynamical Systems  B, 2012, 17 (1) : 347366. doi: 10.3934/dcdsb.2012.17.347 
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