Abstract
The research subject is a mathematical model of municipal solid waste management (hereinafter – MMMSWM). Relevance: the growth of the world’s population and its consumption (primarily, in the Golden Billion countries) leads to a corresponding increase in the amount of solid municipal waste (hereinafter – SMW). This increase is an additional global warming factor. Also, growing SMW requires additional land areas. Since the time of Galileo, science has been the application of mathematics to study any object. In the case of SMW, building and solving a mathematical model of SMW management will reduce the anthropogenic load on Earth. The research objective is to build a mathematical model of municipal solid waste management and propose ways to solve it. The research goal is to perform a literature review of existing mathematical models of municipal solid waste management and suggest a new MMMSWM. The research techniques include retrospective analysis, synthesis, comparison, and methods of the theory of differential equations. The research result is building a new mathematical model of solid municipal waste management, which ensures an acceptable control over the filtrate concentration.
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