Over the last decade, earier named self-organizing mobile computer networks, MANET (Mobile Ad Hoc Network), including those based on unmanned aerial vehicles (UAV) - FANET (Flying Ad Hoc Network), have become widespreaded. In FANET, the UAV is connected to the network using wireless technology. Due to the constant dynamics of the nodes of such FANET, in this network, there are sometimes lost connections between the nodes. Modern wireless technologies such as: WiFi, ZigBee, AirMAX and others, have different technical characteristics that significantly affect the ability to build FANET. In the article developed a software model that allows you to study the statistical characteristics of mobile networks. The motion of each object (network node) is described using a quaternion model. The software model is developed in the Python programming language. The obtained software model for the given conditions allows to estimate the basic statistical characteristics of FANET and to make recommendations to their construction and application.