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10.5614-J.MATH.FUND.SCI.2021.53.2.7 |
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220427s2021 CNT 000 0 und d |
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|a 23375760 (ISSN)
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| 245 |
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|a Modeling the phenomenon of xenophobia in Africa
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|b Institute for Research and Community Services, Institut Teknologi Bandung
|c 2021
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|z View Fulltext in Publisher
|u https://doi.org/10.5614/J.MATH.FUND.SCI.2021.53.2.7
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|a In this study, we applied the principle of a competitive predator-prey system to propose a prey-predator-like model of xenophobia in Africa. The boundedness of the solution, the existence and stability of equilibrium states of the xenophobic model are discussed accordingly. As a special case, the coexistence state was found to be locally and globally stable based on the parametric conditions of effective group defense and anti-xenophobic policy implementation. The system was further analyzed by Sotomayor’s theory to show that each equilibrium point bifurcates transcritically. However, numerical proof showed period-doubling bifurcation, which makes the xenophobic situation more chaotic in Africa. Further numerical simulations support the analytical results with the view that tolerance, group defense and anti-xenophobic policies are critical parameters for the coexistence of foreigners and xenophobes. © 2021 Published by ITB Institute for Research and Community Services,.
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|a Boundedness
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|a Global stability
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|a Local bifurcation
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|a Xenophobes
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|a Xenophobic-mathematical model
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|a Gweryina, R.I.
|e author
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|a Madubueze, C.E.
|e author
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|a Ogaji, S.J.
|e author
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|t Journal of Mathematical and Fundamental Sciences
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