STOCHASTIC MODEL OF POPULATION STATUS DYNAMICS RELATED TO ZAKAT

Authors

  • Auliya Fithry Student of Mathematics Department Universitas Negeri Padang, Indonesia
  • Muhammad Subhan Lecturers of Mathematics Department Universitas Negeri Padang
  • Dony Permana Lecturers of Mathematics Department Universitas Negeri Padang

Abstract

Poverty is one of the problems in Indonesia, which is a predominantly Moslem country. In Islam,  zakat can be used to decrease poverty if the all muzzakki fulfill the obligation and manage properly. The aim of this research is to develop a mathematical model that describes dynamics of economic group population associated to zakat in a small area (Kelurahan Puhun Pintu Kabun) in Bukittinggi city. The model is a Markov chain model that is presented by a transition probability matrices. We begin this research by collecting data through interviews with respondents, making the transition probability matrices from one until five steps, observing the characteristics of each situation, and drawing conclusion. The result declares that  every community status of zakat is reccurent, which means every community status of zakat has probability to return to original status.

References

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Batusangkar, October 14 ÔÇô 15, 2017

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Published

2018-01-02

Issue

Vol. 1 No. 1 (2017): Proceeding: Batusangkar International Conference II Graduate Programme of IAIN Batusangkar. ISBN : 978-602-329-072-7

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Articles

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