“…12 In particular, the levels of various microbial population play an important role in the performance of biological wastewater treatment operations in terms of degradation of influent organic matter, elimination of pathogenic bacteria, maintenance of the microbial communities, and reduction of excess sludge. 12 As aforementioned, ecosystems are complex networks of living organisms, which are interconnected and linked with their environment through a myriad of nutrient cycles, mass, and energy flows. 13 For quantitative purposes, ecosystems are often described by systems of ordinary differential equations (ODE) whose dynamic behavior is influenced by such terms as net mortality rate (indicating the difference between birthrate and death rate), compartment interactions (e.g., accounting for exchange of biomass between populations through predation and grazing), and functions reflecting various external effects, like seasonal change, meteorological events, pollution buildup, and so forth.…”