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

Prelegent(ci)
Marek Bodnar
Afiliacja
Uniwersytet Warszawski
Termin
7 listopada 2012 16:15
Pokój
p. 5820
Seminarium
Seminarium Zakładu Biomatematyki i Teorii Gier

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.