 A mathematical approach to Xenophobia: The case of South AfricaA. Mhlanga Mathematical Social Sciences, 2021, vol. 110, issue C, 44-52 Abstract: Xenophobia is a social evil which leaves a trail of destruction wherever it passes through. A mathematical model is formulated and analyzed to gain an understanding of xenophobia in order to come up with strategies on how we can best control it. The xenophobia-free equilibrium is shown to be globally asymptotically stable when the corresponding threshold parameter is less than unity. Furthermore, the xenophobic equilibrium point exists only when the corresponding threshold parameter is greater than unity and is locally asymptotically stable when the corresponding threshold parameter is greater than unity. The results from the model analysis suggest that negative peer influence promotes the development of xenophobia while counseling and incarceration inhibit its growth. The results from the numerical simulations suggest that although counseling and incarceration can singly reduce xenophobia, the use of counseling of the exposed and the xenophobic coupled with incarceration may be the ideal strategy to stop this menace. Keywords: Mathematical model; Counseling and incarceration; Peer influence; Sensitivity analysis (search for similar items in EconPapers) Downloads: (external link) Related works: Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text Persistent link: https://EconPapers.repec.org/RePEc:eee:matsoc:v:110:y:2021:i:c:p:44-52 DOI: 10.1016/j.mathsocsci.2021.02.001 Access Statistics for this article Mathematical Social Sciences is currently edited by J.-F. Laslier More articles in Mathematical Social Sciences from Elsevier |
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