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Research Article Open Access

Traveling Wave Dynamics in a Degenerate Nonlinear Parabolic System Modeling Bacterial Growth

Abstract

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.

Mansour MBA

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