Mathematical Analysis of Yeast Species Using the Laplace Decomposition Method

Abstract

This paper examined a mathematical model for the growth of yeast species 1 and 2 through numerical analysis. The approximate solutions in the form of infinite series were obtained by applying the Laplace Decomposition Method. With the use of the Maple 18 program, numerical justification was carried out on the model parameter values to produce the desired outcomes. According to the findings, yeast species 1 and 2 were shown to decline when growth rate coefficients dropped from 50% to 90%, and increased when growth rate coefficients increased from 120% to 160%. When yeast species 1 and 2's growth rate coefficients dropped from 50%, 70%, and 90%, a loss in biodiversity was seen; similarly, when their growth rate coefficients increased from 120%, 140%, and 160%, a gain in biodiversity was observed.