Proceedings of the 2015 International Conference on Modeling, Simulation and Applied Mathematics

Nonlinear Cobweb Model with Time Delays

Authors
Akio Matsumoto, Keiko Nakayama
Corresponding Author
Akio Matsumoto
Available Online August 2015.
DOI
https://doi.org/10.2991/msam-15.2015.91How to use a DOI?
Keywords
continuous time cobweb model; nonlinear price dynamics; production delay; stability switching; hopf bifurcation
Abstract
We study the effects of production delays on the local as well as on global dynamics of nonlinear Cobweb model in a continuous-time frame- work. After reviewing a single delay model, we proceed to two models with two delays. When the two delays are used to form an expected price or feedback for price adjustment, we have a winding stability switching curve and in consequence, obtain repetition of stability losses and gains via Hopf bifurcation.
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Proceedings
2015 International Conference on Modeling, Simulation and Applied Mathematics
Part of series
Advances in Intelligent Systems Research
Publication Date
August 2015
ISBN
978-94-6252-104-9
ISSN
1951-6851
DOI
https://doi.org/10.2991/msam-15.2015.91How to use a DOI?
Open Access
This is an open access article distributed under the CC BY-NC license.

Cite this article

TY  - CONF
AU  - Akio Matsumoto
AU  - Keiko Nakayama
PY  - 2015/08
DA  - 2015/08
TI  - Nonlinear Cobweb Model with Time Delays
BT  - 2015 International Conference on Modeling, Simulation and Applied Mathematics
PB  - Atlantis Press
SN  - 1951-6851
UR  - https://doi.org/10.2991/msam-15.2015.91
DO  - https://doi.org/10.2991/msam-15.2015.91
ID  - Matsumoto2015/08
ER  -