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Scholars Journal of Physics, Mathematics and Statistics | Volume-5 | Issue-05
Mathematical Modeling of Ghana's Greater Accra Region Population Growth
Owusu Seth, Akinyi Aduda Jane, Orwa Otieno George
Published: Oct. 30, 2018 |
116
79
DOI: 10.21276/sjpms.2018.5.5.4
Pages: 300-308
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Abstract
Population size and growth rate have great impact on the society and
economy of every country. There is the need for leaders to be abreast with quality
information on population so they can adequately provide the needed resources to meet
the ever growing human population. The purpose of this study is to use mathematical
models to predict the population growth of the Greater Accra Region (GAR) of Ghana.
Two mathematical models: the Exponential and Logistic Growth Models were applied to
model the population growth using GAR population data from 1960 to 2015. The
Exponential Model predicted the population of GAR to be 18.1617 million in 2050, with
a constant growth rate of 4.01% per year. On the other hand, the Logistic Model
predicted GAR’s population to be 12.2031 million in 2050, with a growth rate of 4.73
per year and a carrying capacity, which describes the maximum population that the
environment can indefinitely sustain, to be 18.55 million. Based on our results, the
Logistic Model fitted the GAR population better than the Exponential Model. The
Logistic Model was fitted using the curve-fitting tool (cftool) in MATLAB. We hope the
results will be very useful to the GAR authorities.