The work is devoted to pilot modeling of the reaction of society to technogenic and biological sudden environmental influences. For the description, the methodology of the socio-technical landscape is used, which reflects the development of certain social practices in the digital and technical environments. At the bifurcation points of the evolution of the socio-technical landscape, the phenomena of the "Black Swan" and "Boomerang Blow" arise - a powerful impulse effect on the landscape. There is an urgent problem of predicting reaction reactions. The aim of the work is the development and pilot study of a self-organizing algorithm of structural-parametric identification of transients. Impacts of a technical and biological nature are considered as objects of research: the development of the use of artificial intelligence and computer technology in medicine and the spread of COVID 19. Models for countries: UK, Russia and Uzbekistan are given. It is shown that the reaction of the sociotechnical landscape is acceptable described by homogeneous differential equations of the second degree with a complex exponentially harmonic function on the right side. The most adequate mathematical models are given. This work was supported by the Russian Science Foundation grant # 19-18-00504.