We use the the Monte Carlo method to calculate the net displacement of an aggregation of bacteria that are under interaction and exerting each other electric forces as consequence of communications among them. Thus starting from the fact that bacterium's ions are exerting repulsion or attraction to others bacteria belonging the same population, is a cause to impulse motility or mobility of the population. It also might be a property of the whole aggregation to determine decisions that maintain their wellness and protection against antibacterial agents. We interpret the resulting solution of the diffusion's equation to model charged aggregations. From here we pass to calculate electric forces that enter inside an Monte Carlo ab-initio algorithm targeting to calculate the net displacement of a population of bacteria.The resulting bacteria displacements have turned out to be dependent on the Bessel function's order.