| Title: |
Mathematical Model of Zakat and Low-Tax Policy Effects on Economic Population |
| Authors: |
Subhan, Muhammad; Sriningsih, Riry |
| Source: |
ZERO: Jurnal Sains, Matematika dan Terapan; Vol 10, No 1 (2026): Zero: Jurnal Sains Matematika dan Terapan; 190-201 ; 2580-5754 ; 2580-569X |
| Publisher Information: |
UIN Sumatera Utara |
| Publication Year: |
2026 |
| Collection: |
E-Journal Universitas Islam Negeri Sumatera Utara |
| Subject Terms: |
Islamic economics; Low-tax policy; Mathematical modelling; Population dynamics; Zakat |
| Description: |
Many Islamic countries implement low-tax policies, but these often fail to reduce inequality and poverty. Zakat has a function to redistribute wealth, but previous studies fail to explore its dynamic interaction with tax systems. This study builds a mathematical model that describes the combined effects of zakat and low-tax policies on economic population dynamics. We develop a system of differential equations that represents wealthy, middle, and poor populations, then analyze it qualitatively by finding equilibrium points and their stability. Analysis reveals a single asymptotically stable equilibrium point, indicating that zakat effectively reduces the wealth gap, even under a low-tax setting. We also established a threshold condition for the middle-to-poor population ratio, guiding policymakers on designing effective poverty interventions. This study lays a theoretical groundwork that incorporates Islamic financial institutions into poverty reduction strategies. |
| Document Type: |
article in journal/newspaper |
| File Description: |
application/pdf |
| Language: |
English |
| Relation: |
http://jurnal.uinsu.ac.id/index.php/zero/article/view/28497/12011; http://jurnal.uinsu.ac.id/index.php/zero/article/view/28497 |
| DOI: |
10.30829/zero.v10i1.28497 |
| Availability: |
http://jurnal.uinsu.ac.id/index.php/zero/article/view/28497; https://doi.org/10.30829/zero.v10i1.28497 |
| Rights: |
Copyright (c) 2026 Muhammad Subhan ; http://creativecommons.org/licenses/by-sa/4.0 |
| Accession Number: |
edsbas.A8680AA5 |
| Database: |
BASE |