Global Attractivity of Neoclassical Models With Sublinear Ricker‐Gamma Growth Rates and Variable Time‐Lags

ABSTRACT In this paper, the problem of global attractivity of a neoclassical model with sublinear Ricker‐type Cobb‐Douglas growth function and variable time‐lag in the production function is investigated. By novel comparison techniques based on the fluctuation lemma and differential inequalities, the permanence property of positive solutions and global convergence to a unique positive equilibrium are established. The obtained results encompass existing ones in the literature as some special cases.

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Publication Details

Journal
Mathematical Methods in the Applied Sciences
Published
2025-02-20
DOI
https://doi.org/10.1002/mma.10839
Primary Topic
Stochastic processes and financial applications
Type
article
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article

Global Attractivity of Neoclassical Models With Sublinear Ricker‐Gamma Growth Rates and Variable Time‐Lags

Le Van Hien
Mathematical Methods in the Applied Sciences
Stochastic processes and financial applications
article

Global Attractivity of Neoclassical Models With Sublinear Ricker‐Gamma Growth Rates and Variable Time‐Lags

Le Van Hien
article en

Abstract

ABSTRACT In this paper, the problem of global attractivity of a neoclassical model with sublinear Ricker‐type Cobb‐Douglas growth function and variable time‐lag in the production function is investigated. By novel comparison techniques based on the fluctuation lemma and differential inequalities, the permanence property of positive solutions and global convergence to a unique positive equilibrium are established. The obtained results encompass existing ones in the literature as some special cases.

Mathematical Methods in the Applied SciencesVol. 48(9)
Hanoi National University of Education (VN)
Openalex Percentile: Top 96%
Stochastic processes and financial applications
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