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    Hello, I'm just after a bit of help with the process for finding a critical value which makes a steady state unstable in a Delay Differential Equation... and then finding the period of small oscillations that occur just above this critical value. Say the delay Logistic Equation...

    \frac{dN(t)}{dt} = rN(t)[1-\frac{N(t-T)}{k}]

    There is a steady state at N=k, and a critical value makes this steady state unstable which I have to determine. And then find the period of small oscillations that occur above this critical value.

    Thanks for any help - I just need a bit of assistance on how to carry these processes out.
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Updated: October 12, 2017
“Yanny” or “Laurel”
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