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Analyses of mathematical models for city population dynamics under heterogeneity

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dc.date.accessioned 2018-11-16 en
dc.date.accessioned 2020-09-15T09:15:10Z
dc.date.available 2020-09-15T09:15:10Z
dc.date.issued 2018-11-16 en
dc.identifier.uri http://hdl.handle.net/20.500.11910/12874
dc.description.abstract In this study, a mathematical model which takes heterogeneity into account is presented to describe city population dynamics. Initial insight is gained by qualitative analyses of a homogeneous version of this model. To understand the population dynamics of South African cities the model is applied to case studies of three major cities, Cape Town, Durban and Johannesburg. For these cases, parameter estimations are calculated from data extracted from population statistics provided for South Africa from our own and other research. The relative importance of the parameters is investigated through sensitivity analyses. Overall, it is shown that a full understanding of the population dynamics, important for city planners, should consider income and expenditure heterogeneity of these South African cities. en
dc.format.medium Print en
dc.subject POPULATION STUDIES en
dc.subject MATHEMATICAL MODELS en
dc.title Analyses of mathematical models for city population dynamics under heterogeneity en
dc.type Journal Article en
dc.ProjectNumber N/A en
dc.Volume 11(3) en
dc.BudgetYear 2018/19 en
dc.ResearchGroup African Institute of South Africa en
dc.SourceTitle African Journal of Science, Technology, Innovation and Development en
dc.ArchiveNumber 10610 en
dc.PageNumber 323-337 en
dc.outputnumber 9604 en
dc.bibliographictitle Collins, O.C., Simelane, T. & Duffy, K.J. (2018) Analyses of mathematical models for city population dynamics under heterogeneity. <i>African Journal of Science, Technology, Innovation and Development</i>. 11(3):323-337. en
dc.publicationyear 2018 en
dc.contributor.author1 Collins, O.C. en
dc.contributor.author2 Simelane, T. en
dc.contributor.author3 Duffy, K.J. en


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