In this work, we develop a novel approximation strategy for building almost periodic sequences in the theory of almost periodic functions. Here, we create a different perspective for the argument of Dirichlet in the theory of numbers and design an integer approximation strategy in this regard. The idea behind the strategy comes from Kronecker's theorem and it is proven that for given an almost periodic function, it is possible to design its corresponding almost periodic sequence. Moreover, we provide two population models in both continuous and discrete cases where almost periodic sequence solutions are designed under suitable circumstances.

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关于几乎周期序列的构造及其在某些离散种群模型中的应用

在这项工作中，我们开发了一种新颖的近似策略，用于在几乎周期函数的理论中构建几乎周期的序列。在这里，我们为狄利克雷在数论中的论点创造了不同的观点，并为此设计了整数近似策略。该策略背后的思想来自克罗内克定理，并且证明了对于给定的近似周期函数，可以设计其相应的近似周期序列。此外，我们提供了连续和离散情况下的两种种群模型，在适当的情况下设计了周期近似的序列解。