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This study enhances the Solow economic growth model to include population dynamics and time delays, revealing multiple development paths and persistent economic fluctuations. It clarifies the complex interplay between economic and demographic factors.

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Area of Science:

  • Economic Growth Theory
  • Mathematical Economics
  • Demographic Economics

Background:

  • The standard Solow model provides a foundational framework for understanding economic growth.
  • Incorporating population dynamics and time delays is crucial for a more realistic representation of economies.
  • Understanding the feedback loops between economic and demographic variables is essential for policy-making.

Purpose of the Study:

  • To develop an augmented Solow model that incorporates population dynamics and time delays.
  • To analyze the conditions leading to single or multiple stationary states (development regimes).
  • To investigate the impact of time delays on economic and demographic fluctuations and their interdependencies.

Main Methods:

  • Augmentation of the traditional Solow model.
  • Mathematical modeling of population dynamics with time delays.
  • Analysis of stationary states and dynamic stability.
  • Identification of causal links between economic and demographic variables.

Main Results:

  • The augmented model can exhibit either a single or multiple stationary states, representing different development paths.
  • Time delays can induce persistent fluctuations in both economic and demographic variables.
  • The research provides a clear framework for understanding the bidirectional influence between economic and demographic factors.

Conclusions:

  • The augmented Solow model offers a richer understanding of economic growth dynamics.
  • Time delays are critical factors that can lead to economic instability and persistent fluctuations.
  • The model elucidates the intricate relationship and feedback mechanisms between economic development and population dynamics.