Travelling waves in a nonlinear degenerate diffusion model for bacterial pattern formation
Travelling waves in a nonlinear degenerate diffusion model for bacterial pattern formation
We study a reaction diffusion model recently proposed in [5] to describe the spatiotemporal evolution of the bacterium <em>Bacillus subtilis</em> on agar plates containing nutrient. An interesting mathematical feature of the model, which is a coupled pair of partial differential equations, is that the bacterial density satisfies a degenerate nonlinear …