Fokker–Plank System for Movement of Micro-organism Population in Confined Environment

We consider self-propelled particles confined between two parallel plates, moving with a constant velocity while their direction changes by rotational diffusion. The probability distribution of such micro-organisms in environment is singular because accumulate at the boundaries. This leads us to distinguish densities bulk and They satisfy degenerate Fokker–Planck system we propose boundary conditions that take into account switching free-moving boundary-contacting particles. Relative entropy property, priori estimates convergence an unique steady state are established. states both PDE individual based stochastic models compared numerically.