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基于混合型泛函微分方程的Kaldor-Kalecki商业周期模型
Kaldor-Kalecki business cycle model based on functional differential equation of mixed type
摘要点击 2572  全文点击 12  投稿时间:2010-11-04  修订日期:2011-01-10
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中文关键词  Kaldor-Kalecki商业周期模型; 超前型投资函数; 稳定性; Hopf 分支
英文关键词  Kaldor-Kalecki business cycle model; investment function of advanced type; Stability; Hopf bifurcation
基金项目  
作者单位E-mail
刘祥东 北京科技大学 liuxiangdong216@163.com 
中文摘要
      通过引入受预期资本存量影响的投资函数, 将一个具有时滞的 Kaldor-Kalecki 商业周期模型拓展为混合型泛函微分方程系统. 利用投资中的时滞或资本存量的预测时间作为分支参数, 讨论均衡点的稳定性以及由 Hopf 分支形成商业周期的条件, 并提供数值模拟来验证所得结论. 数值模拟结果显示: 在较短的资本存量预测时间和投资时滞的影响下, 生产总值和预期资本存量逐步趋向均衡, 经济运行平稳; 在较长的资本存量预测时间和投资时滞的影响下, 生产总值和预期资本存量产生周期性振荡, 商业周期出现.
英文摘要
      Through introducing investment function impacted by anticipated capital stock, a delayed Kaldor-Kalecki business cycle model is expanded into a functional differential equation system of mixed type. By using delay in the investment or prediction time of capital stock as bifurcation parameter, this paper investigates the stability of equilibrium and the conditions of business cycle caused by Hopf bifurcation, and also provides numerical simulations to confirm obtained conclusions. The results of numerical simulation indicate that: affected by shorter prediction time of capital stock and shorter investment delay, the gross product and anticipated capital stock gradually tend toward equilibrium, and economy steadily develops; while due to the influence of longer prediction time of capital stock and longer investment delay, the gross product and anticipated capital stock generates cyclical oscillation, and business cycle appears.
相关附件:   基于混合型泛函微分方程的Kaldor-Kalecki商业周期模型.tex  论文中插图1  论文中插图2  论文中插图3  论文中插图4  基于混合型泛函微分方程的Kaldor-Kalecki商业周期模型.tex  论文中图形1  论文中图形2  论文中图形3  论文中图形4  回复评审专家及编辑部的意见
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