Preprints

Publications

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

Y. Chen, T. Kolokolnikov, J.C. Tzou, and C. Gai (to appear, European J. Appl. Math.)

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

A.E. Lindsay, T. Kolokolnikov, and J.C. Tzou (Phys. Rev. E, 91(3), 032111 (2015).)

- Asymptotic analysis of first passage time problems inspired by ecology

V. Kurella, J.C. Tzou, D. Coombs, and M.J. Ward (B. Math. Biol., 77(1), (2015), pp. 83–125.)

- First passage times, mobile traps, and Hopf bifurcations

J.C. Tzou, S. Xie, and T. Kolokolnikov (Phys. Rev. E, 90(6), 062138 (2015).)

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

J.C. Tzou, T. Kolokolnikov (SIAM Multiscale Model. Simul., 13(1), (2015), pp. 231–255.)

- Optimal covering points and related problems

J.C. Tzou, B.R. Wetton (13 pages, accepted, Can. Appl. Math. Q.)

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

J.C. Tzou, M.J. Ward, and T. Kolokolnikov (Physica D: Nonlinear Phenomena, 290(1), (2015), pp. 24–43.)

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

J.C. Tzou, Y.-P. Ma, A. Bayliss, B.J. Matkowsky, and V.A. Volpert (Phys. Rev. E, 87(2), 022908 (2013).) - The stability of localized spikes for the 1-D Brusselator reaction–diffusion model

J.C. Tzou, Y. Nec, and M.J. Ward (European J. Appl. Math., 24(4), (2013), pp. 515–564.) - Stationary
and slowly moving localized pulses in a singularly perturbed
Brusselator model

J.C. Tzou, A. Bayliss, B.J. Matkowsky, and V.A. Volpert (European J. Appl. Math., 22(5), (2011), pp. 423–453.) - Interaction
of Turing and Hopf modes in the superdiffusive Brusselator model near a codimension two bifurcation point

J.C. Tzou, A. Bayliss, B.J. Matkowsky, and V.A. Volpert (Math. Model. Nat. Phenom., 6(1), (2011), pp. 87–118.) - Interaction
of Turing and Hopf modes in the superdiffusive Brusselator model

J.C. Tzou, B.J. Matkowsky and V.A. Volpert (Appl. Math. Lett., 22, (2009), 1432–1437.)