Almost periodic dynamics of a delayed differential neoclassical growth model with nonlinear depreciation rate

Fan Yang; Nan Sun; Lian Duan; Fan Yang; Nan Sun; Lian Duan

doi:10.3934/era.2025299

Electronic Research Archive

2025, Volume 33, Issue 11: 6771-6788. doi: 10.3934/era.2025299

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Research article

Almost periodic dynamics of a delayed differential neoclassical growth model with nonlinear depreciation rate

School of Mathematics and Big Data, Anhui University of Science and Technology, Huainan 232001, China

Received: 22 September 2025 Revised: 04 November 2025 Accepted: 11 November 2025 Published: 17 November 2025

In this paper, we study a delayed almost periodic differential neoclassical growth model with nonlinear depreciation rate. Relying on the theory of almost periodic functions and by making use of the Lyapunov functional approach, some novel criteria for guaranteeing the existence and global exponential stability of positive almost periodic solutions of the studied model are established. Besides, the correctness of the theoretical results is validated by a numerical example. The established theoretical findings supplement and improve the conclusions in the literature.
- differential neoclassical growth model,
- almost periodic solution,
- nonlinear depreciation rate,
- global exponential stability
Citation: Fan Yang, Nan Sun, Lian Duan. Almost periodic dynamics of a delayed differential neoclassical growth model with nonlinear depreciation rate[J]. Electronic Research Archive, 2025, 33(11): 6771-6788. doi: 10.3934/era.2025299

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Abstract

In this paper, we study a delayed almost periodic differential neoclassical growth model with nonlinear depreciation rate. Relying on the theory of almost periodic functions and by making use of the Lyapunov functional approach, some novel criteria for guaranteeing the existence and global exponential stability of positive almost periodic solutions of the studied model are established. Besides, the correctness of the theoretical results is validated by a numerical example. The established theoretical findings supplement and improve the conclusions in the literature.

References

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