Justin Tzou
Department of Mathematics
Macquarie University
Australia
Biography
Lecturer in Department of Mathematics at Macquarie University.
Research Interest
Research Interests: I use asymptotic and numerical tools to analyze partial differential equations relating to two main areas in applied mathematics: first passage time problems in stochastic processes, and the stability and dynamics of patterns in reaction-diffusion systems. The overarching theme is the techniques of analysis used (asymptotic methods, PDE techniques, numerical and continuation methods, Monte Carlo simulations), and that the quantitative results yielded by the analysis often lead to rich qualitative pictures of the underlying phenomena. Below is a rough list of problems on which I have worked or am currently working on.
Publications
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Tzou JC, Xie S, Kolokolnikov T. First-passage times, mobile traps, and Hopf bifurcations. Physical Review E. 2014 Dec 29;90(6):062138.
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Tzou JC, Ward MJ, Kolokolnikov T. Slowly varying control parameters, delayed bifurcations, and the stability of spikes in reaction–diffusion systems. Physica D: Nonlinear Phenomena. 2015 Jan 1;290:24-43.
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Kurella V, Tzou JC, Coombs D, Ward MJ. Asymptotic analysis of first passage time problems inspired by ecology. Bulletin of mathematical biology. 2015 Jan 1;77(1):83-125.
