Bifurcation Analysis in Cubic Autocatalytic Reactions with Time Delay

The purpose of this interim report is to provide an overview of the author’s Final Year
Project. The author would like to study the effect of delay on the stability of recycle stream of
Continuously Stirred Tank Reactor (CSTR) sustaining cubic autocatalytic reactions with time
delay. The reactor is operated under isothermal condition. The reaction system is governed by
the delay differential equations. The dynamic behavior of the cubic autocatalytic reaction system
with time delay is investigated using DDE23 solver which is available in MATLAB. In the
absence of delay, the system is dynamically unstable with the set of model parameters. It has
been observed that the dynamic characteristic changes as a result of delay in the recycle stream
of a CSTR.