A Mathematical Model for Coastal Bacteria Population Dynamics and Transport

A mathematical model describing the evolution of the spatial distribution of a bacteria population in a marine environment is described. The hypothesis is that a certain amount of water polluted by bacteria is introduced into the environment due to an accidental event. In particular, the evolution of the spatial bacteria distribution will be described considering the bacteria transport due to the marine currents and the bacteria diffusion, reproduction and death dynamics. In this paper only a short presentation of the partial differential equations of the model will be reported. The final goal of the study will be to describe the environmental scenario following the accident in the short and long term in presence of different tide phase and kind of wind. To this end the numerical approximate resolution of the model it is required.