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The Effect of Different Forms for the Delay in A Model of the Nephron
Modelling Population Growth with Delayed Nonlocal Reaction in 2Dimensions
1.  Department of Mathematics and Statistics, York University, Toronto, Ontario, M3J 1P3, Canada 
2.  Department of Mathematics and Statistics, York University, Toronto, Ontario, Canada M3J 1P3, Canada, Canada 
[1] 
Abraham Solar. Stability of nonmonotone and backward waves for delay nonlocal reactiondiffusion equations. Discrete & Continuous Dynamical Systems  A, 2019, 39 (10) : 57995823. doi: 10.3934/dcds.2019255 
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Henri Berestycki, Nancy Rodríguez. A nonlocal bistable reactiondiffusion equation with a gap. Discrete & Continuous Dynamical Systems  A, 2017, 37 (2) : 685723. doi: 10.3934/dcds.2017029 
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Chuandong Li, Fali Ma, Tingwen Huang. 2D analysis based iterative learning control for linear discretetime systems with time delay. Journal of Industrial & Management Optimization, 2011, 7 (1) : 175181. doi: 10.3934/jimo.2011.7.175 
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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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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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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 
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Keng Deng, Yixiang Wu. Asymptotic behavior for a reactiondiffusion population model with delay. Discrete & Continuous Dynamical Systems  B, 2015, 20 (2) : 385395. doi: 10.3934/dcdsb.2015.20.385 
[8] 
Shouming Zhou, Chunlai Mu, Yongsheng Mi, Fuchen Zhang. Blowup for a nonlocal diffusion equation with exponential reaction term and Neumann boundary condition. Communications on Pure & Applied Analysis, 2013, 12 (6) : 29352946. doi: 10.3934/cpaa.2013.12.2935 
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Kazuhisa Ichikawa, Mahemauti Rouzimaimaiti, Takashi Suzuki. Reaction diffusion equation with nonlocal term arises as a mean field limit of the master equation. Discrete & Continuous Dynamical Systems  S, 2012, 5 (1) : 115126. doi: 10.3934/dcdss.2012.5.115 
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Keng Deng. On a nonlocal reactiondiffusion population model. Discrete & Continuous Dynamical Systems  B, 2008, 9 (1) : 6573. doi: 10.3934/dcdsb.2008.9.65 
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ChingShan Chou, YongTao Zhang, Rui Zhao, Qing Nie. Numerical methods for stiff reactiondiffusion systems. Discrete & Continuous Dynamical Systems  B, 2007, 7 (3) : 515525. doi: 10.3934/dcdsb.2007.7.515 
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Thomas Y. Hou, Danping Yang, Hongyu Ran. Multiscale analysis in Lagrangian formulation for the 2D incompressible Euler equation. Discrete & Continuous Dynamical Systems  A, 2005, 13 (5) : 11531186. doi: 10.3934/dcds.2005.13.1153 
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Huimin Liang, Peixuan Weng, Yanling Tian. Threshold asymptotic behaviors for a delayed nonlocal reactiondiffusion model of mistletoes and birds in a 2D strip. Communications on Pure & Applied Analysis, 2016, 15 (4) : 14711495. doi: 10.3934/cpaa.2016.15.1471 
[14] 
Joseph G. Yan, DongMing Hwang. Pattern formation in reactiondiffusion systems with $D_2$symmetric kinetics. Discrete & Continuous Dynamical Systems  A, 1996, 2 (2) : 255270. doi: 10.3934/dcds.1996.2.255 
[15] 
Nick Bessonov, Gennady Bocharov, Tarik Mohammed Touaoula, Sergei Trofimchuk, Vitaly Volpert. Delay reactiondiffusion equation for infection dynamics. Discrete & Continuous Dynamical Systems  B, 2019, 24 (5) : 20732091. doi: 10.3934/dcdsb.2019085 
[16] 
Heather Finotti, Suzanne Lenhart, Tuoc Van Phan. Optimal control of advective direction in reactiondiffusion population models. Evolution Equations & Control Theory, 2012, 1 (1) : 81107. doi: 10.3934/eect.2012.1.81 
[17] 
BangSheng Han, ZhiCheng Wang. Traveling wave solutions in a nonlocal reactiondiffusion population model. Communications on Pure & Applied Analysis, 2016, 15 (3) : 10571076. doi: 10.3934/cpaa.2016.15.1057 
[18] 
Seckin Demirbas. Local wellposedness for 2D Schrödinger equation on irrational tori and bounds on Sobolev norms. Communications on Pure & Applied Analysis, 2017, 16 (5) : 15171530. doi: 10.3934/cpaa.2017072 
[19] 
Xiaojing Xu. Local existence and blowup criterion of the 2D compressible Boussinesq equations without dissipation terms. Discrete & Continuous Dynamical Systems  A, 2009, 25 (4) : 13331347. doi: 10.3934/dcds.2009.25.1333 
[20] 
Melody Dodd, Jennifer L. Mueller. A realtime Dbar algorithm for 2D electrical impedance tomography data. Inverse Problems & Imaging, 2014, 8 (4) : 10131031. doi: 10.3934/ipi.2014.8.1013 
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