For the first time was researched the dynamic models of the data defensive system (DMDDS) in social networks (SN) from the volumes of development of social networks (VSNE) were investigated and the reliability of the data defensive system (RDDS), which indicates the academic achievements of this work. 
Created DMDDS in CN from the conditions of RDDS. In the DMDDS, currently known opportunities, actions and technologies are involved, for which the modality of uncertainty is confirmed as a state of a defined condition on a time grid, and this relationship interprets the transformation of the previous state over time. 
SN is a set of actors and their types of communications. Actors can be people themselves, their subgroups, associations, settlements, territories, continents. The form of interaction includes not only the transmission and reception of information, but also communication, exchange of opportunities and types of activities, including controversial points and views. 
From the point of view of mathematics, a prototype of the DMDDS was developed on the basis of nonlinear differential equations (NDE) and its transcendental review was carried out. Transcendental review of dynamic models of DMSDD in SN proved that parameters of VSNE significantly influence data defensives (DD) at possible value values - up to one hundred percent.
The phase types (PT) of DD have been checked, which prove RDDS in the working volume of values even at the maximum values of negative excitations.
For the first time the research of the developed NDE systems was conducted and the quantitative values between the VSNE parameters and the DD values, as well as the RDDS, were shown, which indicates the theoretical and practical value of the scientific work and its significance for the further development of scientific research in the field of SN.
The proposed model will contribute to increasing the quality and reliability of DD in SN around the world.