The Student Room Group
Uni students - Complete our survey >>
Uni students - Complete our survey >>
Uni students - Complete our survey >>

Delayed Differential Equations

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...

dN(t)dt=rN(t)[1−N(t−T)k]\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.
(edited 6 years ago)

Quick Reply

Related discussions

Latest

Trending

Trending

Articles for you