The Dynamic Behaviour of Wonderland Population-Development-Environment Model
The result's identifiers
Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F49777513%3A23520%2F16%3A43929919" target="_blank" >RIV/49777513:23520/16:43929919 - isvavai.cz</a>
Result on the web
<a href="http://mme2016.tul.cz/index.php?page=conferenceproceedings" target="_blank" >http://mme2016.tul.cz/index.php?page=conferenceproceedings</a>
DOI - Digital Object Identifier
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Alternative languages
Result language
angličtina
Original language name
The Dynamic Behaviour of Wonderland Population-Development-Environment Model
Original language description
The Wonderland Population-Development-Environment Model (PDE) allows to study the interactions between the economic, demographic and environment factors of an idealized world, thereby enabling them to obtain insights transferable to the real world. This model was first introduced by Sanderson in 1994 and now there are several modification of this model. From a mathematical perspective, the PDE model is a system of non-linear differential equations characterized by slow-fast dynamics. This means that some of the system variables vary much faster than others. The existence of speed of dynamical in variables in model implies problems with numerical solution of models. This article concentrates on the numerical solutions of model and on the visualization dynamical behaviour of a four dimensional continuous dynamical system, the Wonderland model. We analyse the behaviour of model for selected part of the parametric space and we showed that the system of four differential equations Wonderland model can generate behaviour typical for chaotic dynamic systems.
Czech name
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Czech description
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Classification
Type
D - Article in proceedings
CEP classification
AH - Economics
OECD FORD branch
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Result continuities
Project
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Continuities
I - Institucionalni podpora na dlouhodoby koncepcni rozvoj vyzkumne organizace
Others
Publication year
2016
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů
Data specific for result type
Article name in the collection
34th International Conference Mathematical Methods in Economics, MME2016, Conference Proceedings
ISBN
978-80-7494-296-9
ISSN
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e-ISSN
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Number of pages
6
Pages from-to
815-820
Publisher name
Technical University of Liberec
Place of publication
Liberec
Event location
Liberec, ČR
Event date
Sep 6, 2016
Type of event by nationality
WRD - Celosvětová akce
UT code for WoS article
000385239500140