Analyses of mathematical models for city population dynamics under heterogeneity
OUTPUT TYPE: Journal Article
PUBLICATION YEAR: 2018
TITLE AUTHOR(S): O.C.Collins, T.Simelane, K.J.Duffy
KEYWORDS: MATHEMATICAL MODELS, POPULATION STUDIES
DEPARTMENT: African Institute of South Africa (AISA)
Print: HSRC Library: shelf number 10610
HANDLE: 20.500.11910/12874
URI: http://hdl.handle.net/20.500.11910/12874
If you would like to obtain a copy of this Research Output, please contact Hanlie Baudin at researchoutputs@hsrc.ac.za.
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.-
Related Research Outputs:
- Population training and research in South Africa
- Migration and service delivery, with specific reference to the Eastern Cape
- Mapping and modeling disease risk among mobile populations
- The epidemiology of HIV/AIDS in three countries in southern Africa: some key findings from population-based surveys
- The state of the population in the Western Cape province
- Evaluation of population health programmes at Atlantic Philanthropies
- Child and mother indicators of progress towards the MDG: a four country comparison
- Youth population scenarios: phase 1: the status of youth: overview of phase 1 theme papers
- Prevalence of diabetes in a population based survey: preliminary results
- Preliminary results of a population based study on global AGEing and adult health
- Ageing, health & chronic diseases in SA: preliminary results of a population based study on global AGEing and adult health
- Perceptions, attitudes and risky behaviours associated with blood borne and sexually transmitted infections (BSTI) among male ex-offenders in South Africa
- Deconstructing density: strategic dilemmas confronting the post-apartheid city
- The people matter: the state of the population in the Eastern Cape
- Population heart of Bay is found on its periphery
- Shifting focus from the centre
- When and how to use assays for recent infection to estimate HIV incidence at a population level
- The fourth APSTAR evaluation report
- The people matter: poverty, population dynamics and policy
- Book review: Hsiao-Li Sun, P.S. Population policy and reproduction in Singapore: making future citizens. London: Taylor and Francis. ISBN 978-0-415-67068-5