• 158 Citations
  • 8 h-Index
20092020

Research output per year

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Research Outputs

  • 158 Citations
  • 8 h-Index
  • 23 Article
2020

Spot patterns of the Schnakenberg reaction-diffusion system on a curved torus

Tzou, C. & Tzou, L., Feb 2020, In : Nonlinearity. 33, 2, p. 643-674 32 p.

Research output: Contribution to journalArticle

2019

A cell topography-based mechanism for ligand discrimination by the T cell receptor

Fernandes, R. A., Ganzinger, K. A., Tzou, J. C., Jönsson, P., Lee, S. F., Palayret, M., Santos, A. M., Carr, A. R., Ponjavic, A., Chang, V. T., Macleod, C., Lagerholm, B. C., Lindsay, A. E., Dushek, O., Tilevi, A., Davis, S. J. & Klenerman, D., 9 Jul 2019, In : Proceedings of the National Academy of Sciences of the United States of America. 116, 28, p. 14002-14010 9 p.

Research output: Contribution to journalArticle

Open Access
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4 Citations (Scopus)
1 Downloads (Pure)

Refined stability thresholds for localized spot patterns for the Brusselator model in R2

Chang, Y., Tzou, J. C., Ward, M. & Wei, J. C., Aug 2019, In : European Journal of Applied Mathematics. 30, 4, p. 791-828 38 p.

Research output: Contribution to journalArticle

2 Citations (Scopus)
2018
4 Citations (Scopus)

Stabilizing a homoclinic stripe

Kolokolnikov, T., Ward, M., Tzou, C. & Wei, J., 15 Nov 2018, In : Philosophical Transactions of the Royal Society A. 376, 2135, p. 1-13 13 p., 20180110.

Research output: Contribution to journalArticle

3 Citations (Scopus)
5 Citations (Scopus)
2017

Optimization of first passage times by multiple cooperating mobile traps

Lindsay, A. E., Tzou, J. C. & Kolokolnikov, T., 2017, In : Multiscale Modeling and Simulation. 15, 2, p. 920-947 28 p.

Research output: Contribution to journalArticle

3 Citations (Scopus)

The stability and slow dynamics of localized spot patterns for the 3-D Schnakenberg reaction-diffusion model

Tzou, J. C., Xie, S., Kolokolnikov, T. & Ward, M. J., 2017, In : SIAM Journal on Applied Dynamical Systems. 16, 1, p. 294-336 43 p.

Research output: Contribution to journalArticle

8 Citations (Scopus)

Transition to blow-up in a reaction-diffusion model with localized spike solutions

Rottschaffer, V., Tzou, J. C. & Ward, M. J., 2017, In : European Journal of Applied Mathematics. 28, 6, p. 1015-1055 41 p.

Research output: Contribution to journalArticle

3 Citations (Scopus)
2016

Hybrid asymptotic-numerical approach for estimating first passage time densities of the two-dimensional narrow capture problem

Lindsay, A. E., Spoonmore, R. T. & Tzou, J. C., 24 Oct 2016, In : Physical Review E - Statistical, Nonlinear, and Soft Matter Physics. 94, 4, p. 1-17 17 p., 042418.

Research output: Contribution to journalArticle

4 Citations (Scopus)

Weakly nonlinear analysis of vortex formation in a dissipative variant of the Gross-Pitaevskii equation

Tzou, J. C., Kevrekidis, P. G., Kolokolnikov, T. & Carretero-Gonzalez, R., 2016, In : SIAM Journal on Applied Dynamical Systems. 15, 2, p. 904–922 19 p.

Research output: Contribution to journalArticle

1 Citation (Scopus)
2015

Asymptotic analysis of first passage time problems inspired by ecology

Kurella, V., Tzou, J. C., Coombs, D. & Ward, M. J., Jan 2015, In : Bulletin of Mathematical Biology. 77, 1, p. 83-125 43 p.

Research output: Contribution to journalArticle

15 Citations (Scopus)

Mean first passage time for a small rotating trap inside a reflective disk

Tzou, J. C. & Kolokolnikov, T., 2015, In : Multiscale Modeling and Simulation. 13, 1, p. 231-255 25 p.

Research output: Contribution to journalArticle

5 Citations (Scopus)

Narrow escape problem with a mixed trap and the effect of orientation

Lindsay, A. E., Kolokolnikov, T. & Tzou, J. C., 2015, In : Physical Review E - Statistical, Nonlinear, and Soft Matter Physics. 91, 3, 15 p., 032111.

Research output: Contribution to journalArticle

15 Citations (Scopus)

Patterned vegetation, tipping points, and the rate of climate change

Chen, Y., Kolokolnikov, T., Tzou, J. & Gai, C., 2015, In : European Journal of Applied Mathematics. 26, 6, p. 945-958 14 p.

Research output: Contribution to journalArticle

11 Citations (Scopus)

Slowly varying control parameters, delayed bifurcations, and the stability of spikes in reaction-diffusion systems

Tzou, J. C., Ward, M. J. & Kolokolnikov, T., 1 Jan 2015, In : Physica D: Nonlinear Phenomena. 290, p. 24-43 20 p.

Research output: Contribution to journalArticle

18 Citations (Scopus)
2014

First passage times, mobile traps, and Hopf bifurcations

Tzou, J. C., Xie, S. & Kolokolnikov, T., 2014, In : Physical Review E - Statistical, Nonlinear, and Soft Matter Physics. 90, 6, 10 p., 062138.

Research output: Contribution to journalArticle

8 Citations (Scopus)
2013

Homoclinic snaking near a codimension-two Turing-Hopf bifurcation point in the Brusselator model

Tzou, J. C., Ma, Y-P., Bayliss, A., Matkowsky, B. J. & Volpert, V. A., 2013, In : Physical Review E - Statistical, Nonlinear, and Soft Matter Physics. 87, 2, p. 1-20 20 p., 022908.

Research output: Contribution to journalArticle

7 Citations (Scopus)

Optimal covering points and related problems

Tzou, J. & Wetton, B., 2013, In : Canadian Applied Mathematics Quarterly. 21, 3, p. 379-389 11 p.

Research output: Contribution to journalArticle

The stability of localized spikes for the 1-D Brusselator reaction–diffusion model

Tzou, J. C., Nec, Y. & Ward, M. J., Aug 2013, In : European Journal of Applied Mathematics. 24, 4, p. 515-564 50 p.

Research output: Contribution to journalArticle

8 Citations (Scopus)
2011

Interaction of Turing and Hopf modes in the superdiffusive Brusselator model near a codimension two bifurcation point

Tzou, J. C., Bayliss, A., Matkowsky, B. J. & Volpert, V. A., 2011, In : Mathematical Modelling of Natural Phenomena. 6, 1, p. 87-118 32 p.

Research output: Contribution to journalArticle

12 Citations (Scopus)

Stationary and slowly moving localized pulses in a singularly perturbed Brusselator model

Tzou, J. C., Bayliss, A., Matkowsky, B. J. & Volpert, V. A., Oct 2011, In : European Journal of Applied Mathematics. 22, 5, p. 423-453 31 p.

Research output: Contribution to journalArticle

13 Citations (Scopus)
2009

Interaction of Turing and Hopf modes in the superdiffusive Brusselator model

Tzou, J., Matkowsky, B. & Volpert, V., 2009, In : Applied Mathematics Letters. 22, 9, p. 1432-1437

Research output: Contribution to journalArticle

9 Citations (Scopus)