Matlab Model

Brewing beer involves putting sugar (S) and yeast (Y) together in a vessel so that alcohol (A) is produced as a by-product of the metabolism of sugar by yeast. Two important aspects of fermentation are the diminishing supply of sugar and the formation of excessive alcohol that will kill yeast cells. The model has some analogy to enzyme kinetics (sugar is a substrate for yeast) and predator prey interaction (alcohol preys yeast). T

he set of initial conditions, differential equations, and constants are: S = 1000 (rel. conc.) Y = 200 (rel. conc.) A = 0 (rel. conc.)

dS/dt = -(a*b*S*Y) - (a*f*S*Y)

dY/dt = a*c*S*Y - (d*Y*A)

dA/dt = a*b*S*Y

Constants: a=0.1 b=0.01 c=0.05 d=0.01 f=0.01

****Use the matlab function ODE45 when solving please

1) Develop a Matlab code to perform the simulation between time t=0 and t=2. Produce a graph to show how the state variables change.

2) Tell us about the process of fermentation?

Thank you! Will rate!