A new approach to simulating stochastic delayed systems.

A new approach to simulating stochastic delayed systems.
Math Biosci. 2020 Feb 27;:108327
Authors: Fatehi F, Kyrychko YN, Blyuss KB
Abstract
In this paper we present a new method for deriving Itô stochastic delay differential equations (SDDEs) from delayed chemical master equations (DCMEs). Considering alternative formulations of SDDEs that can be derived from the same DCME, we prove that they are equivalent both in distribution, and in sample paths they produce. This allows us to formulate an algorithmic approach to deriving equivalent Itô SDDEs with a smaller number of noise variables, which increases the computational speed of simulating stochastic delayed systems. The new method is illustrated on a simple model of two interacting species, and it shows excellent agreement with the results of direct stochastic simulations, while also demonstrating a much superior speed of performance.
PMID: 32113917 [PubMed - as supplied by publisher]

Source: Mathematical Biosciences - February 26, 2020 Category: Statistics Authors: Fatehi F, Kyrychko YN, Blyuss KB Tags: Math Biosci Source Type: research