Linear Chain Trick, distributed delays, and stability of steady states

The seminar is devoted to the theory of delay differential equations with distributed delays or in other words with memory. The Linear Chain Trick is discussed and I show under which condition an equation with distributed delays is equivalent to the system of ordinary differential equations. The stability of steady states will be discussed. I show that the equation with distributed delays is more stable than with a discrete delay in the sense that steady states are stable for a wider range of parameters.