A mathematical model of bacterial growth using soil bacterial communities

Abstract

A bacterial growth model is presented starting from the Malthusian model of exponential growth. Considering the growth rate being a linear function, we can express it using the bacterial tolerance grade over different conditions. Resolving the obtained differential equation, we plot the growth of the bacterial population for the studied initial conditions. The numerical increase of soil bacterial population cultivated on common microbiological growth media (Potato dextrose agar –abbreviated PDA) is studied.