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dc.contributor.authorRukundo, Isaac
dc.contributor.authorAriho, Pius
dc.date.accessioned2022-06-22T08:00:34Z
dc.date.available2022-06-22T08:00:34Z
dc.date.issued2022
dc.identifier.citationRukundo, I., & Ariho, P. (2022). A Mathematical Model of Solid Waste Accumulation and Treatment with a Varying Human Population Size. Biomath Communications, 9(1), 2203238-2203238.en_US
dc.identifier.urihttp://ir.must.ac.ug/xmlui/handle/123456789/2149
dc.description.abstractSolid waste management has continued to be an increasing challenge worldwide and the situation has become worse in urban areas of developing countries. The rapid urban population growth, mainly due to high immigration and birth rates, has led to large amounts of solid waste, making it difficult for authorities to effectively man- age the accumulated waste. Existing mathematical models of solid waste accumulation consider solid waste management by an external effort and do not address the contribution of the population in the management process. In this study, a mathematical model of solid waste accumulation is developed and analyzed incorporating param- eters for human immigration and solid waste recycling by particular population age groups. The solid waste is considered to be of two categories: biodegradable and non-biodegradable. Existence of equilibrium points is established and their stability analysed. Numerical simulations are done using MATLAB and Maple. Results show that solid waste increases with increasing human population and thus a solid waste free environment cannot be achieved. Sensitivity analysis suggests that improving the biodegradability of solid waste coupled with aiding solid waste decay and recycling reduces the final size of solid waste.en_US
dc.language.isoen_USen_US
dc.publisherBiomath Communicationsen_US
dc.subjectSolid wasteen_US
dc.subjectPopulation growthen_US
dc.subjectRecyclingen_US
dc.subjectBiodegrad- abilityen_US
dc.titleA Mathematical Model of Solid Waste Accumulation and Treatment with a Varying Human Population Sizeen_US
dc.typeArticleen_US


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