A strategic mathematical model of waste disposal.

The impact of human actions on the environment poses several challenges at the global level, with solutions that deserve the productive and political sectors and civil society to be jointly involved. Resource scarcity, ecosystem degradation, and climate change must be addressed urgently; this is a paradigm change in the forms of production and consumption. This is a transition from a linear economy to a circular economy, which allows responsible disposal and reuse of waste along the links of production and use. However, despite notable advances in recycling and upcycling, landfill and dump disposal remain the primary waste disposal worldwide. Furthermore, a significant amount of waste is disposed of illegally, affecting the quality of life of communities that live in nearby areas. This work studies the trade-off between waste container removal and illegal micro-dumps cleaning using impulsive control. A type of strategic mathematical model is formulated, one that captures the minimal but relevant aspects of the phenomenon, to describe the dynamics of garbage. [ABSTRACT FROM AUTHOR]