Perturbation of the stationary state

Let us consider an experiment where a0, b0,k1, and tres are all specified and the concentration of a is then allowed to take up one of the corresponding 

From the definition of the stationary state, eqn (8.3), the first two terms on the right-hand side of this expression (those not involving A a) cancel identically. Thus we can write the rate of change of the perturbation as 

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A positive or negative (cyclic) feedback of a species i along a specified cyclic sequence of species i, 2, , ik (not necessarily a pathway) states whether an initial (small) perturbation of the stationary state by species i affecting successively the species in the sequence tends to become amplified or damped, respectively. This can be identified by looking at the product of corresponding Jacobian matrix elements, JiiM - For example, the product tells us (by reading... 

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