The mathematical modelling of refuse build-up on the university campus: A case study of KNUST campus

Abstract

In this paper, xyzw model is introduced which characterizes the solid waste generated by the four departments on the KNUST. Thus, the refuse on the street x(t), in the gutters y(t), in the dustbins z(t) and dumpsite w(t). From the qualitative analysis of xyzw model, it revealed that the refuse in these departments piles up as the time increases indefinitely. Based on the data, it revealed that refuse keeps on piling up. Thus, the trucks are not able to adequately carry refuse from departments: Street, gutters and dustbins to the dumpsite as expected by the university authority. This comes as a result of overows from the dustbins at some vantage points in the university. In addition, the waste in gutters and on street are collected and deposit it in the dustbins (with varying volumes) everyday resulting in overows of waste on street and in gutters.