An operatorial model for long-term survival of bacterial populations

This paper deals with the application of the operatorial techniques of quantum physics to model a closed ecosystem in a two-dimensional region. In particular, we consider a model with four compartments, represented by fermionic operators, distributed on a finite square grid. The dynamics is governed by a self-adjoint Hamiltonian containing the interactions among the compartments (nutrients, bacteria and two different kinds of garbage) as well as some diffusive phenomena along the cells.