Authors : P. Dethe1, C. Burande2 , B. Burande3 and M. Sawangikar4
Page Nos : 298-305
Description :
This paper described the mathematical model of Brusselator to demonstrate the
chemical oscillation using Jacobian matrix stability method. The Brusselator model is a
theoretical model for a type of autocatalytic reaction. This model can also be analyzed to
establish the behavior of two dimensional systems. The utility of Jacobian derives from
an analysis in which only linear terms are kept in analyzing the effect of the
perturbation on the study state. Marginal stability is an unusual situation that typically
occurs as a parameter changes and a state goes from being stable to unstable or vice
versa.