The authors propose an approach to assessing the possibility of stabilizing controlled impact on the ecological system, its climatic characteristics, within a limited space. Maintaining the necessary climatic parameters at an acceptable level ensures the stability of any ecosystem, the natural habitat of all living organisms, the preservation of biodiversity, including humans. The biggest potential threat is the rapid dynamics of global warming. Rising temperatures are the cause of extreme weather events, which directly affects environmental and food security. Given the urgency of the task, there is a need to study the controlled mechanism of influence on certain climatic factors in order to curb abnormal dynamics and bring the ecosystem into a state of stable equilibrium. The approach proposed by the authors is based on modeling the process of reducing the risk of crisis situations with abnormal fluctuations in ambient temperature. The mathematical model is represented by a system of ordinary differential equations, which is a consequence of the adaptation of Lagrange equations to oscillatory processes. The state of the studied climatic factor is matched by some random process, the amplitude of which depends on the values of the components of the control vectors and the function of external influence. The experimental parameter is ambient temperature. The problem was solved using statistical data for the Zhytomyr region (Ukraine). The main results of the simulation are to obtain a set of control vectors and functions of external influence, which will be taken into account in the information system for monitoring the environmental situation.