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.

仇外心理是一种社会邪恶，无论它走到哪里都会留下破坏的痕迹。建立并分析数学模型以了解仇外心理，从而提出有关如何最好地控制仇外心理的策略。当相应的阈值参数小于1时，将显示无仇外平衡是全局渐近稳定的。此外，仇外平衡点仅在相应的阈值参数大于一时才存在，并且在相应的阈值参数大于一时才是局部渐近稳定的。模型分析的结果表明，负面的同伴影响促进了仇外心理的发展，而咨询和监禁则抑制了仇外心理的增长。