Mathematical Analysis of an Age-Structured Modelling for Solid Waste Generation Management System and Treatment in Makindye Division of Kampala
Abstract:Recently, various regulatory policies towards
disposal of solid waste generation have not been successful due to improper
management of solid waste generation in the communities. This study aimed at assessing the impact of
population growth on solid waste generation in Kampala. A
deterministic compartmental model is proposed and developed by classifying the
population into three age structure and each group has its own rate of solid
waste generation and natural death rate using both qualitative
and quantitative approaches. The population is assumed to increase due to birth
rate and migration rate. Primary data were obtained using a
survey questionnaire to 400 respondents in the Makindye Division. The model proposed is analysed qualitatively
using the theory of stability differential equations and SPSS software
packages. Numerical
simulation is employed using Excel Micro Software in order to validate and
support the qualitative results. The study found that, both numerical and
analytical solutions affirm that the accumulation of solid waste increases with
an increase in the fast population growth in the division. The result shows
that increase in the solid waste generation treatment effort leads to a
decrease in the accumulation of solid waste generation. The results from the
data collected revealed that management and
environment is significantly correlated with p-value