具有年龄优势的年龄依赖型人口模型的可分离解及其稳定性

Separable solutions of an age-dependent population model with age dominance and their stability.

作者信息

Langlais M, Milner F A

机构信息

Institut des Sciences Humaines Appliquées, Université de Bordeaux II, France.

出版信息

Math Biosci. 1994 Jan;119(1):115-25. doi: 10.1016/0025-5564(94)90007-8.

DOI:10.1016/0025-5564(94)90007-8

PMID:8111134

Abstract

Necessary and sufficient conditions are established for the existence of separable solutions of an age-structured model of population dynamics with age dominance. Their asymptotic behavior is studied, and, for certain forms of the demographic rates, the asymptotic stability of separable solutions is demonstrated.

摘要

建立了具有年龄优势的种群动态年龄结构模型可分离解存在的充分必要条件。研究了它们的渐近行为，并且对于某些形式的人口统计率，证明了可分离解的渐近稳定性。