A MATHEMATICAL MODEL TO ELIMINATE POVERTY BY IMPLEMENTATION OF ZAKAT
DOI:
https://doi.org/10.66362/iji.v1i2.9Keywords:
Zakat, Mathematical Modeling, Differential EquationsAbstract
Zakat is an important tool in maintaining a fair wealth distribution in the society. A new mathematical model to predict the wealth distribution among poor and rich is proposed based on the zakat. The model is a differential equation system which formulates the total belongings of rich subject to zakat and the total belongings of the poor who receive zakat. The global wealth transform between the two groups is expressed by the model. The aim in this study is to extrapolate and estimate wealth distribution among poor and rich starting from an initial state. The other aim in this study is to present in a rational manner (using mathematical models) the positive effects of fairer distribution of wealth in a society where zakat is practically applied. Three different scenarios are investigated: In the first one, the gaining of rich in a year is more than the zakat they pay, in the second, it is equal and in the last, less than the zakat they pay. In all scenarios, it is shown that zakat is an efficient tool to eliminate poverty in a society.
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