Variational model of microorganism polyculture development without re-supply of mutually irreplaceable resources

Stationary stage of accumulating cultures of Pseudomonas aeruginosa dissociants is described by variational model of consumption and growth. The “generalized entropy” as a goal function is used. Model's parameters are the dissociants requirements for basic nutrients: carbon, nitrogen and phosphorus. Using this model we calculate the limitation ranges for arbitrary combinations of environmental resource factors and the community population sizes at a stationary stage of growth as functions of the resources that constrain the growth. The requirements values obtained from experimental data allowed us to predict the limiting resources and dissociant's abundances. Our estimations match experimental results. The possibility of composition control is discussed in paper.