John G. Alford
Research

My research interests include modeling, simulation, and computation with nonlinear reaction-diffusion equations applied to biological systems.  Typically these systems depend on parameters and one would like to determine how the parameters affect solutions.  I utilize both numerical and analytical methods to investigate parameter dependence by approximating solutions, computing stability properties, and analyzing bifurcation behavior.  I have studied both physiological and ecological phenomena which exhibit oscillations, traveling waves, and non-homogeneous steady-states  over a wide range of length and time scales.