Dynamics of a Four-Dimensional Economic Model

被引：1

作者：

Moza, Gheorghe ^{[1
]}

Brandibur, Oana ^{[2
]}

Gaina, Ariana ^{[2
]}

机构：

[1] Politehn Univ Timisoara, Dept Math, Timisoara 300006, Romania

[2] West Univ Timisoara, Dept Math, Timisoara 300223, Romania

来源：

MATHEMATICS | 2023年 / 11卷 / 04期

关键词：

dynamical systems; bifurcation diagrams; economic models; local dynamics; NONLINEAR DYNAMICS; BIFURCATION; STABILITY; NETWORK; SYSTEM; CHAOS;

D O I：

10.3390/math11040797

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

The interdependency between interest rates, investment demands and inflation rates in a given economy has a continuous dynamics. We propose a four-dimensional model which describes these interactions by imposing a control law on the interest rate. By a qualitative analysis based on tools from dynamical systems theory, we obtain in the new model that the three economic indicators can be stabilized to three equilibrium states.

引用

页数：15

共 24 条

[1] Breaking and Sustaining Bifurcations in SN-Invariant Equidistant Economy [J].

Aizawa, H. ;

Ikeda, K. ;

Osawa, M. ;

Gaspar, J. M. .

INTERNATIONAL JOURNAL OF BIFURCATION AND CHAOS, 2020, 30 (16)

[2] Stability and bifurcation analysis for a fractional prey-predator scavenger model [J].

Alidousti, Javad .

APPLIED MATHEMATICAL MODELLING, 2020, 81 :342-355

[3] Stability and bifurcation for time delay fractional predator prey system by incorporating the dispersal of prey [J].

Alidousti, Javad ;

Ghahfarokhi, Mojtaba Mostafavi .

APPLIED MATHEMATICAL MODELLING, 2019, 72 :385-402

[4] On Average Performance and Stability of Economic Model Predictive Control [J].

Angeli, David ;

Amrit, Rishi ;

Rawlings, James B. .

IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 2012, 57 (07) :1615-1626

[5] An epidemic-economic model for COVID-19 [J].

Bai, Jie ;

Wang, Xiunan ;

Wang, Jin .

MATHEMATICAL BIOSCIENCES AND ENGINEERING, 2022, 19 (09) :9658-9696

[6] Nonlinear dynamics and chaos in a fractional-order financial system [J].

Chen, Wei-Ching .

CHAOS SOLITONS & FRACTALS, 2008, 36 (05) :1305-1314

[7] Coexisting Hidden and Self-Excited Attractors in an Economic Model of Integer or Fractional Order [J].

Danca, Marius-F. .

INTERNATIONAL JOURNAL OF BIFURCATION AND CHAOS, 2021, 31 (04)

[8]

Guerrini L., 2012, INT J MATH ANAL, V6, P2779

[9] Bifurcations in a fractional-order BAM neural network with four different delays [J].

Huang, Chengdai ;

Wang, Juan ;

Chen, Xiaoping ;

Cao, Jinde .

NEURAL NETWORKS, 2021, 141 :344-354

[10] Dynamic optimal control of enhancing feedback treatment for a delayed fractional order predator-prey model [J].

Huang, Chengdai ;

Liu, Heng ;

Chen, Xiaoping ;

Zhang, Minsong ;

Ding, Ling ;

Cao, Jinde ;

Alsaedi, Ahmed .

PHYSICA A-STATISTICAL MECHANICS AND ITS APPLICATIONS, 2020, 554

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