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Justin Tzou
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Asymptotic analysis of first passage time problems inspired by ecology
V Kurella, JC Tzou, D Coombs, MJ Ward
Bulletin of mathematical biology 77 (1), 83-125, 2015
812015
A cell topography-based mechanism for ligand discrimination by the T cell receptor
RA Fernandes, KA Ganzinger, JC Tzou, P Jönsson, SF Lee, M Palayret, ...
Proceedings of the National Academy of Sciences 116 (28), 14002-14010, 2019
802019
Slowly varying control parameters, delayed bifurcations, and the stability of spikes in reaction–diffusion systems
JC Tzou, MJ Ward, T Kolokolnikov
Physica D: Nonlinear Phenomena 290, 24-43, 2015
472015
Patterned vegetation, tipping points, and the rate of climate change
Y Chen, T Kolokolnikov, J Tzou, C Gai
European Journal of Applied Mathematics 26 (6), 945-958, 2015
462015
Narrow escape problem with a mixed trap and the effect of orientation
AE Lindsay, T Kolokolnikov, JC Tzou
Physical Review E 91 (3), 032111, 2015
422015
Interaction of Turing and Hopf modes in the superdiffusive Brusselator model
JC Tzou, BJ Matkowsky, VA Volpert
Applied mathematics letters 22 (9), 1432-1437, 2009
382009
Hybrid asymptotic-numerical approach for estimating first-passage-time densities of the two-dimensional narrow capture problem
AE Lindsay, RT Spoonmore, JC Tzou
Physical Review E 94 (4), 042418, 2016
362016
Stationary and slowly moving localised pulses in a singularly perturbed Brusselator model
JC Tzou, A Bayliss, BJ Matkowsky, VA Volpert
European Journal of Applied Mathematics 22 (5), 423-453, 2011
252011
The stability and slow dynamics of localized spot patterns for the 3-D Schnakenberg reaction-diffusion model
JC Tzou, S Xie, T Kolokolnikov, MJ Ward
SIAM Journal on Applied Dynamical Systems 16 (1), 294-336, 2017
232017
Mean first passage time for a small rotating trap inside a reflective disk
JC Tzou, T Kolokolnikov
Multiscale Modeling & Simulation 13 (1), 231-255, 2015
232015
First-passage times, mobile traps, and Hopf bifurcations
JC Tzou, S Xie, T Kolokolnikov
Physical Review E 90 (6), 062138, 2014
23*2014
Homoclinic snaking near a codimension-two Turing-Hopf bifurcation point in the Brusselator model
JC Tzou, YP Ma, A Bayliss, BJ Matkowsky, VA Volpert
Physical Review E—Statistical, Nonlinear, and Soft Matter Physics 87 (2 …, 2013
232013
The stability of localized spikes for the 1-D Brusselator reaction–diffusion model
JC Tzou, Y Nec, MJ Ward
European Journal of Applied Mathematics 24 (4), 515-564, 2013
202013
Interaction of Turing and Hopf modes in the superdiffusive Brusselator model near a codimension two bifurcation point
JC Tzou, A Bayliss, BJ Matkowsky, VA Volpert
Mathematical Modelling of Natural Phenomena 6 (1), 87-118, 2011
202011
The stability and slow dynamics of spot patterns in the 2D Brusselator model: The effect of open systems and heterogeneities
JC Tzou, MJ Ward
Physica D: Nonlinear Phenomena 373, 13-37, 2018
172018
Optimization of first passage times by multiple cooperating mobile traps
AE Lindsay, JC Tzou, T Kolokolnikov
Multiscale Modeling & Simulation 15 (2), 920-947, 2017
162017
Stabilizing a homoclinic stripe
T Kolokolnikov, M Ward, J Tzou, J Wei
Philosophical Transactions of the Royal Society A: Mathematical, Physical …, 2018
132018
Spot patterns of the Schnakenberg reaction–diffusion system on a curved torus
JC Tzou, L Tzou
Nonlinearity 33 (2), 643, 2019
102019
Anomalous scaling of Hopf bifurcation thresholds for the stability of localized spot patterns for reaction-diffusion systems in two dimensions
JC Tzou, MJ Ward, JC Wei
SIAM Journal on Applied Dynamical Systems 17 (1), 982-1022, 2018
102018
Transition to blow-up in a reaction–diffusion model with localized spike solutions
V Rottschäfer, JC Tzou, MJ Ward
European Journal of Applied Mathematics 28 (6), 1015-1055, 2017
92017
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