Abstract

Introduction. Pollution of shallow waters is becoming an increasingly serious problem. It is important to study the mechanisms of pollution distribution in them to protect and restore such vulnerable ecosystems, it is necessary to develop strategies for the development of sustainable and environmentally friendly use of natural resources, minimizing the negative impact on the environment. Part of this work is the construction of a mathematical model for the spread of pollutants (in particular, phosphates) in shallow reservoirs. The aim of the work is to construct scenarios for changes in the concentration of phosphates at various parameters of the model.Materials and Methods. The phosphate transport mathematical model in a shallow reservoir is described, implemented using a modified alternating triangular iterative method to solving grid equations.Results. The developed mathematical model is numerically implemented in the form of a software module. This model is an important tool for assessing and predicting the various pollution sources impact to the water quality of ecosystems such as lakes and reservoirs.Discussion and Conclusion. The resulting model can be used to analyze various pollution scenarios, for example, to determine optimal waste management strategies and prevent pollution of water resources. In addition, the software module developed by the authors allows you to simulate the process of the phosphates concentration changing and can be useful for conducting scientific and engineering research in the aquatic ecology field and developing effective methods for adapting hydrobiocenosis to changes in the aquatic ecosystem.

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