This article presents the initial issues; research and development of adaptive mobile access points and a software simulator with the goal of studying the processes occurring in the wireless network, and take into account different user behaviors. Basic concepts of the article include adaptive wireless networks with the use of mobile access points, while the article focuses on the mathematical approach and description of the problem. The mathematical approach of this article includes intersecting areas and non-intersecting frequencies in the system and is described by a number of formulas with ranging values. The results of this research are presented and followed by a number of future suggestions, for further research and improvement.
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