Delay dynamics in a classical IS-LM model with taxiation
Delay dynamics in a classical IS-LM model with taxiation
复制标题
带滑行的经典 IS-LM 模型中的延迟动力学
DOI：
10.1111/meca.12128
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发表时间：
2016
期刊：
影响因子：
--
通讯作者：
Ferenc Szidarovszky
中科院分区：
文献类型：
--
作者：
Akio Matsumoto;Ferenc Szidarovszky
本文建立了一个具有税收时滞的收入、利率和货币存量动态的IS-LM模型。主要目的是表明，延迟问题的宏观动态。两种不同的延迟，固定时间延迟和连续分布的时间延迟，被显式地考虑，并分别描述为延迟微分方程和积分微分方程。两个模型的局部稳定性的条件推导和比较。数值分析了时滞引起的失稳效应。从简单的周期振荡到复杂的动力学的广谱动力学的出现描述通过霍普夫分岔。
An IS‐LM model is developed for the dynamics of income, interest rate and money stock with delay in tax revenue. The main aim is to show that the delay matters in macro dynamics. Two different delays, fixed time delays and continuously distributed time delays, are considered explicitly and described by delay‐differential equations and integro‐differential equations, respectively. Conditions for the local stability of the two models are derived and compared. The destabilizing effects caused by the delay are numerically examined. Appearance of wide spectrum of dynamics ranging from simple cyclic oscillations to complex dynamics is described through Hopf bifurctions.