The Dynamic Behaviour of Wonderland Population-Development-Environment Model

Kód výsledku v 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>

Výsledek na webu

<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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Jazyk výsledku

angličtina

Název v původním jazyce

The Dynamic Behaviour of Wonderland Population-Development-Environment Model

Popis výsledku v původním jazyce

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.

Název v anglickém jazyce

The Dynamic Behaviour of Wonderland Population-Development-Environment Model

Popis výsledku anglicky

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.

Druh

D - Stať ve sborníku

CEP obor

AH - Ekonomie

OECD FORD obor

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Projekt

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Návaznosti

I - Institucionalni podpora na dlouhodoby koncepcni rozvoj vyzkumne organizace

Rok uplatnění

2016

Kód důvěrnosti údajů

S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

Název statě ve sborníku

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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Počet stran výsledku

6

Strana od-do

815-820

Název nakladatele

Technical University of Liberec

Místo vydání

Liberec

Místo konání akce

Liberec, ČR

Datum konání akce

6. 9. 2016

Typ akce podle státní příslušnosti

WRD - Celosvětová akce

Kód UT WoS článku

000385239500140