论文标题
时间至关重
Time Is Of The Essence: Incorporating Phase-Type Distributed Delays And Dwell Times Into ODE Models
论文作者
论文摘要
普通的微分方程（ODE）模型在数学，统计和科学领域中具有多种应用。尽管它们被广泛使用，但对于时间延迟的结合，这些模型有时被认为是不灵活的。广义线性链技巧（GLCT）是建模者比通常的指数和ERLANG分布更灵活的延迟或停留时间分布假设的一种方式。在本文中，我们演示了如何使用GLCT通过概括或近似现有模型来生成新的ODE模型，从而通过相型分布式延迟或停留时间产生更通用的ODE。
Ordinary differential equations (ODE) 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 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 approximating existing models to yield much more general ODEs with phase-type distributed delays or dwell times.
