Role of delay in the stochastic creation process

Abstract

We develop an approximate theoretical method to study discrete stochastic birth and death models that include a delay time. We analyze the effect of the delay in the fluctuations of the system and obtain that it can qualitatively alter them. We also study the effect of distributed delay. We apply the method to a protein-dynamics model that explicitly includes transcription and translation delays. The theoretical model allows us to understand in a general way the interplay between stochasticity and delay.

References in corpus (2)

• Van Kampen's expansion approach in an opinion formation model
• On the Gaussian approximation for master equations

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