Kademi Hafizu Ibrahim, Baba Isa Abdullahi, Saad Farouk Tijjani
Near East University, Faculty of Veterinary Medicine, Food Hygiene and Technology Department, Nicosia, Cyprus.
Near East University, Faculty of Arts and Sciences, Department of Mathematics, Nicosia, Cyprus.
Toxicol Rep. 2017 Jun 6;4:358-363. doi: 10.1016/j.toxrep.2017.05.009. eCollection 2017.
In this paper, we developed a mathematical model to describethe dynamics of Aflatoxins in plants, animals, and humans. Fourequilibrium points were found, and their stability analyses wereconducted using threshold quantities. If both are less than one, thestandardized toxic limit is not exceeded, while if both are greater thanone it is exceeded in both animals and humans. Standardized toxic limitis exceeded in a relevant host (animals or humans) when their respectivethreshold quantity is greater than one. Numerical simulations werecarried out to support the analytic results. The need to use experimentaldata in the model is also shown. This could ease satisfactoryharmonization of acceptable standards and facilitate international tradeof food and feeds.
在本文中,我们建立了一个数学模型来描述黄曲霉毒素在植物、动物和人类中的动态变化。我们找到了四个平衡点,并使用阈值量对其进行了稳定性分析。如果两者都小于1,则未超过标准化毒性限值,而如果两者都大于1,则动物和人类都会超过该限值。当相关宿主(动物或人类)各自的阈值量大于1时,该宿主就会超过标准化毒性限值。我们进行了数值模拟以支持分析结果。还表明了在模型中使用实验数据的必要性。这有助于令人满意地协调可接受标准,并促进食品和饲料的国际贸易。