A Nonlinear Logistic Model for Age-Structured Populations: Analysis of Long-Term Dynamics and Equilibria
Fuente:
arXiv
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| Autor principal: | |
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| Formato: | Preprint |
| Publicado: |
2025
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| Acceso en línea: | |
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| _version_ | 1866915630340374528 |
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| author | Covei, Dragos-Patru |
| author_facet | Covei, Dragos-Patru |
| contents | 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2505_00391 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | A Nonlinear Logistic Model for Age-Structured Populations: Analysis of Long-Term Dynamics and Equilibria Covei, Dragos-Patru Analysis of PDEs 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. |
| title | A Nonlinear Logistic Model for Age-Structured Populations: Analysis of Long-Term Dynamics and Equilibria |
| topic | Analysis of PDEs |
| url | https://arxiv.org/abs/2505.00391 |