Where can I find a relation (with proof) between the dynamics of u'(t)=F(u(t),u(t-r)) near an equilibrium and the dynamics of the linearized equation?

I have studied Marchuk's immune system models (which were of the above form) and some authors use the linearization argument to examine the stability of equilibria. However they did not refer to...

24 April 2014 4,807 7 View