Abstract
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.
Acknowledgments
The authors wish to express their sincere thanks to the editor and anonymous reviewer for valuable suggestions and comments which improved the final version of the paper.
Disclosure statement
No potential conflict of interest was reported by the author(s).