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arXiv · 2505.00391

A Nonlinear Logistic Model for Age-Structured Populations: Analysis of Long-Term Dynamics and Equilibria

Dragos-Patru Covei
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Abstract

This paper investigates a nonlinear logistic model for age-structured population dynamics. The model incorporates interdependent fertility and mortality functions within a logistic framework, offering insights into stationary solutions and asymptotic behavior. Theoretical findings establish conditions for the existence and uniqueness of equilibrium solutions and explore long-term population dynamics. This study provides valuable tools for demographic modeling and opens avenues for further mathematical exploration.

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Dragos-Patru Covei. 2025-05-01. A Nonlinear Logistic Model for Age-Structured Populations: Analysis of Long-Term Dynamics and Equilibria. https://arxiv.org/abs/2505.00391

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