In this paper, we are concerned with the stability for a model in the form of system of integro-partial differential equations, which governs the evolution of two competing age-structured populations. The age-specified environment is incorporated in the vital rates, which displays the hierarchy of ages. By a non-zero fixed-point result, we show the existence of positive equilibria. Some conditions for the stability of steady states are derived by means of semigroup method. Furthermore, numerical experiments are also presented.

中文翻译：

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分层年龄结构人口竞争系统的稳定性

在本文中，我们关注积分偏微分方程系统形式的模型的稳定性，该系统控制两个竞争的年龄结构人群的演变。指定年龄的环境包含在生命率中，它显示了年龄的层次结构。通过非零定点结果，我们证明了正平衡的存在。用半群法推导出稳态稳定性的一些条件。此外，还提出了数值实验。