Convection - Diffusion model of talking bacteria

Quorum sensing is cell to cell communication process through chemical signals formally known as autoinducers. When the concentration of quorum sensing molecules reached threshold concentration bacteria are in active state or quorum state. In this article, we propose a mathematical model of quorum sensing systems and study this biological system numerically. Moreover, we compare the different numerical scheme with the batch culture of P.aeruginosa. We observed a negative diffusion coefficient which plays an important role in the quorum sensing mechanism.