Explosive instability of a linear system

To illustrate new effects which could be observed employing this technique, consider a simple model [67, 118]. Start from the chemical kinetics equation 

The first term here is proportional to the kinetic coefficient k and describes particle decay, whereas the second - their reproduction. Solution of (2.2.5) is 

Assume now that the kinetic coefficients ko, k are exposed to random variations. Let us discuss how can it affect the margin of instability 70. Putting 

Therefore, the explosive instability boundary is shifted as compared with (2.2.6) now 70 = h. 

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