The research develops a model managing environmental balance in polluted territories, indicating a path for sustainable use.
Currently, one of the key problems is the problem of sustainable development of the territory. The presented research work proposes a theoretical model with the help of which practical recommendations are considered for the purpose of environmental and economic regulation of territories subject to anthropogenic influence for their stable sustainable development. To solve this problem, in the general case, the most modern mathematical methods should be used, and, as a result, applied. The scientific value of the presented research is based on the formation of a methodology and the development of a mathematically substantiated organizational and economic foundation that makes it possible to build an environmentally sound system for managing the state of ecosystems for territories subject to anthropogenic influence. In the process of monitoring any environmentally harmful production or process, specific phases of its development can be identified. The first phase does not involve threats or their relief, while the second, on the contrary, includes measures to maintain environmental balance. Their intensity is associated with the probabilistic features of a particular physical process. Based on the analytical solution, an ecological-mathematical model was proposed and the moment of transition between periods of security and threats was assessed. The development of methodologically sound mechanisms that facilitate the possibility of involving territories subject to negative anthropogenic influence for agricultural use and the production of environmentally friendly crop products represents an important national economic task. This study examines the problem of cleansing the territories of the Russian Federation from pollution and the mathematical calculation of assessing the period of ecological balance. The article proposes a mathematical model that can be used for economic assessment and accounting of radioactive influence and technogenic loads exerted on the natural environment from various sources of pollution, which determine the environmental situation in the field of land use, as well as the use of land resources, taking into account the degree of their contamination.
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Sukhorukova et al. (2025) studied this question.
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