Qualitative behavior in a fractional order IS-LM-AS macroeconomic model with stability analysis

Bazán Navarro, Ciro Eduardo; Benazic Tomé, Renato Mario

doi:10.1016/j.matcom.2023.11.003

Mathematics and Computers in Simulation

2024

DOI: 10.1016/j.matcom.2023.11.003

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Qualitative behavior in a fractional order IS-LM-AS macroeconomic model with stability analysis

Ciro Eduardo Bazán Navarro,

Renato Mario Benazic Tomé

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Cited by 3 publications

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Qualitative analysis and modulation instability for the extended (3+1)-dimensional nonlinear Schrödinger equation with conformable derivative

Zhang,

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2024

Results in Physics

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Qualitative analysis and modulation instability for the extended (3+1)-dimensional nonlinear Schrödinger equation with conformable derivative

Zhang,

Li,

Cao

2024

Results in Physics

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Dynamic behavior and modulation instability for a generalized nonlinear Schrödinger equation with nonlocal nonlinearity

Zhang,

Cao,

Lyu

2024

Phys. Scr.

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This paper focus on the generalized nonlinear Schrödinger equation with triple refractive index andnonlocal nonlinearity, which is used to describe the evolution state of optical solitons in fiber opticpropagation. Firstly, the complex exponential traveling wave transformation and substitution methodare utilized to convert the equation into two-dimensional planar dynamic system, and then by phaseportrait the developmental patterns of solutions are qualitatively analyzing. Meanwhile, the evolutionof solutions under different disturbances in the system is discussed. Qualitative analysis of the systemare displayed through Poincar´ e section and sensitivity analysis. Finally, the instability of the system ismodulated by using linear stability analysis method, and the corresponding conditions for steady-statesolutions and the gain spectrum function are obtained.

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Stability Analysis of a Fractional-Order Time-Delayed Solow Growth Model with Environmental Pollution

Gu,

Wang

2024

Fractal Fract

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Economic growth is resulting in serious environmental problems. Effectively establishing an economic growth model that considers environmental pollution is an important topic. To analyze the interplay between economic growth and environmental pollution, a fractional-order time-delayed economic growth model with environmental purification is proposed in this paper. The established model considers not only the environment and economic production but also the labor force population and total factor productivity. Furthermore, the asymptotic stability conditions and parameter stability interval are provided. Finally, in numerical experiments, the correctness of the theory is verified.

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Qualitative behavior in a fractional order IS-LM-AS macroeconomic model with stability analysis

Cited by 3 publications

References 38 publications

Qualitative analysis and modulation instability for the extended (3+1)-dimensional nonlinear Schrödinger equation with conformable derivative

Qualitative analysis and modulation instability for the extended (3+1)-dimensional nonlinear Schrödinger equation with conformable derivative

Dynamic behavior and modulation instability for a generalized nonlinear Schrödinger equation with nonlocal nonlinearity

Stability Analysis of a Fractional-Order Time-Delayed Solow Growth Model with Environmental Pollution

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