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  • 标题:Hopf Bifurcation in a Cobweb Model with Discrete Time Delays
  • 本地全文:下载
  • 作者:Luca Gori ; Luca Guerrini ; Mauro Sodini
  • 期刊名称:Discrete Dynamics in Nature and Society
  • 印刷版ISSN:1026-0226
  • 电子版ISSN:1607-887X
  • 出版年度:2014
  • 卷号:2014
  • DOI:10.1155/2014/137090
  • 出版社:Hindawi Publishing Corporation
  • 摘要:We develop a cobweb model with discrete time delays that characterise the length of production cycle. We assume a market comprised of homogeneous producers that operate as adapters by taking the (expected) profit-maximising quantity as a target to adjust production and consumers with a marginal willingness to pay captured by an isoelastic demand. The dynamics of the economy is characterised by a one-dimensional delay differential equation. In this context, we show that (1) if the elasticity of market demand is sufficiently high, the steady-state equilibrium is locally asymptotically stable and (2) if the elasticity of market demand is sufficiently low, quasiperiodic oscillations emerge when the time lag (that represents the length of production cycle) is high enough.
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