A procedure for deriving new ODE models: Using the generalized linear chain trick to incorporate phase-type distributed delay and dwell time assumptions

A procedure for deriving new ODE models: Using the generalized linear chain trick to incorporate phase-type distributed delay and dwell time assumptions

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Ordinary differential equations models have a wide variety of applications in the fields of mathematics, statistics, and the sciences.Though they are widely used, these models are sometimes viewed as inflexible with respect to the incorporation of time delays.The Generalized Linear Chain Trick (GLCT) serves as a way for modelers Characterizing Intercity Mobility Patterns for the Greater Bay Area in China to incorporate much more flexible delay or dwell time distribution assumptions than the usual exponential and Erlang distributions.In this paper we demonstrate how the GLCT can be used to generate new ODE models by generalizing or Providing Web Archive News Articles as Corpus Data approximating existing models to yield much more general ODEs with phase-type distributed delays or dwell times.