Computational dynamics of solid waste generation and treatment in the presence of population growth
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Date
2014-05-08
Journal Title
Journal ISSN
Volume Title
Publisher
Asian Journal of Mathematics and Applications
Abstract
Solid waste management is a global challenge and the situation is worse in urban areas of the
developing countries where, in most cases, there are no data of how much solid waste is generated over a
specific period of time. Worse still, solid waste continues to pile up as population continues to grow and
authorities in developing countries are increasingly becoming unable to manage the waste. This calls for a
means for anticipating the solid waste to be generated in order for the authorities to take proactive
actions in managing the solid waste. In this paper, a deterministic compartmental mathematical model
that can be used to predict the amount of solid waste generation and treatment needed with population
growth as major factor is proposed and analysed qualitatively using the stability theory of differential
equations. Numerical simulation is performed to validate the qualitative results.
Sustainable Development Goals
SDG 11: Sustainable Cities and Communities, SDG 12 : Responsible Consumption and Production, SDG 3 : Good Health and Well-being
Keywords
Population growth, Solid waste generation, Treatment, Deterministic model, Stability analysis, Numerical simulation.