Mathematical modeling of the dynamics of aquatic ecosystems and the possibilities of their self-cleaning at the conditions of global climate change

Abstract

A detailed review of mathematical models of pollution dispersion in air, water and soil is presented in the article. The models are represented by the systems of differential equations and used for water resources management on urban landscapes. Detailed three-dimensional equations of mass, momentum and heat transfer, averaged two-dimensional dispersion models on terrain maps, one-dimensional dispersion models in river systems and zero-dimensional compartmental models have been considered. The biotic component and the impact of the effects of gradual global climate change have been taken into account. The tasks for external quality management of water, air and soil, as well as the possibilities of the ecosystem for self-management have been considered. The problems of fuzzy data for validation as well as the usage of mathematical models for practical purposes have been discussed.