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Analyses of mathematical models for city population dynamics under heterogeneity

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dc.date.accessioned 2021-09-30T18:15:10Z
dc.date.available 2021-09-30T18:15:10Z
dc.date.issued 2021-09-16 en
dc.identifier.uri http://hdl.handle.net/20.500.11910/16400
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.publisher Routledge en
dc.subject CITIES en
dc.subject CAPE TOWN en
dc.subject DURBAN en
dc.subject JOHANNESBURG en
dc.subject URBANISATION en
dc.title Analyses of mathematical models for city population dynamics under heterogeneity en
dc.type Chapter in Monograph en
dc.description.version Y en
dc.ProjectNumber QBBBBB en
dc.BudgetYear 2021/22 en
dc.ResearchGroup African Institute of South Africa en
dc.SourceTitle Engineering design and mathematical modelling: concepts and applications en
dc.SourceTitle.Editor Nwulu, N. en
dc.SourceTitle.Editor Muchie, M. en
dc.PlaceOfPublication London en
dc.ArchiveNumber 12129 en
dc.PageNumber 52-66 en
dc.outputnumber 11281 en
dc.bibliographictitle Collins, O.C., Simelane, T.S. & Duffy, K.J. (2021) Analyses of mathematical models for city population dynamics under heterogeneity. In: Nwulu, N. & Muchie, M. (eds).<i>Engineering Design and Mathematical Modelling: Concepts and Applications</i>. London: Routledge. 52-66. http://hdl.handle.net/20.500.11910/16400 en
dc.publicationyear 2021 en
dc.contributor.author1 Collins, O.C. en
dc.contributor.author2 Simelane, T.S. en
dc.contributor.author3 Duffy, K.J. en

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