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Emilian Chinwendu Madubueze
Department of Mathematics/Statistics/Computer Science, Federal University of Agriculture, PMB 2373, Makurdi, Nigeria, 970101
Astronomy Chemistry Earth & Planetary Sciences Mathematics Physics

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Modeling the Phenomenon of Xenophobia in Africa Reuben Iortyer Gweryina; Emilian Chinwendu Madubueze; Simon James Ogaji
Journal of Mathematical and Fundamental Sciences Vol. 53 No. 2 (2021)
Publisher : Institute for Research and Community Services (LPPM) ITB

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.5614/j.math.fund.sci.2021.53.2.7

Abstract

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.
Co-Authors Reuben Iortyer Gweryina Simon James Ogaji