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Selforganizing models of bacterial aggregation states
Nonlinear stability of traveling wavefronts in an agestructured reactiondiffusion population model
1.  Department of Mathematical and Statistical Sciences, University of Alberta, Edmonton, Alberta, T6G 2G1, Canada, Canada 
2.  Department of Mathematics, Champlain College SaintLambert, SaintLambert, Quebec, J4P 3P2, 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] 
Ming Mei, Yau Shu Wong. Novel stability results for traveling wavefronts in an agestructured reactiondiffusion equation. Mathematical Biosciences & Engineering, 2009, 6 (4) : 743752. doi: 10.3934/mbe.2009.6.743 
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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 
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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 
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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 
[7] 
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 
[8] 
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 
[9] 
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 
[10] 
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 
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Zhaosheng Feng. Traveling waves to a reactiondiffusion equation. Conference Publications, 2007, 2007 (Special) : 382390. doi: 10.3934/proc.2007.2007.382 
[12] 
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 
[13] 
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 
[14] 
Faustino SánchezGarduño, Philip K. Maini, Judith PérezVelázquez. A nonlinear degenerate equation for direct aggregation and traveling wave dynamics. Discrete & Continuous Dynamical Systems  B, 2010, 13 (2) : 455487. doi: 10.3934/dcdsb.2010.13.455 
[15] 
Tarik Mohammed Touaoula, Mohammed Nor Frioui, Nikolay Bessonov, Vitaly Volpert. Dynamics of solutions of a reactiondiffusion equation with delayed inhibition. Discrete & Continuous Dynamical Systems  S, 2018, 0 (0) : 00. doi: 10.3934/dcdss.2020193 
[16] 
ChengHsiung Hsu, JianJhong Lin. Stability analysis of traveling wave solutions for lattice reactiondiffusion equations. Discrete & Continuous Dynamical Systems  B, 2020, 25 (5) : 17571774. doi: 10.3934/dcdsb.2020001 
[17] 
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 
[18] 
FengYu Wang. Exponential convergence of nonlinear monotone SPDEs. Discrete & Continuous Dynamical Systems  A, 2015, 35 (11) : 52395253. doi: 10.3934/dcds.2015.35.5239 
[19] 
Peng Cui, Hongguo Zhao, June Feng. State estimation for discrete linear systems with observation timedelayed noise. Journal of Industrial & Management Optimization, 2011, 7 (1) : 7985. doi: 10.3934/jimo.2011.7.79 
[20] 
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 
2018 Impact Factor: 1.313
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