Traveling Wave Dynamics in a Degenerate Nonlinear Parabolic SystemModeling Bacterial Growth

[摘要] In this paper we consider a reaction-diffusion system in terms of a degenerate nonlinear parabolic system of equations modelling spatiotemporal patterns generated by bacterial colonies. A three-dimensional phase space analysis is carried out to show the existence of traveling wave front of sharp type for a minimum speed as well as smooth wave fronts for large speeds. Further, such wave fonts solutions are found by solving numerically the time-dependent problem.

[关键词] Nonlinear diffusion;Degenerate nonlinear parabolic system;Traveling wave dynamics;Sharp front