Jurnal Lebesgue : Jurnal Ilmiah Pendidikan Matematika, Matematika dan Statistika
Vol. 5 No. 2 (2024): Jurnal Lebesgue : Jurnal Ilmiah Pendidikan Matematika, Matematika dan Statistik

MATHEMATICAL MODELING AND CORRUPTION-FREE FIXED-POINT STABILITY OF CORRUPTION DYNAMIC WITH CONTROL STRATEGY

Hanan, Hafizhah Atrya (Unknown)
Putri, Arrival Rince (Unknown)
Muhafzan, Muhafzan (Unknown)



Article Info

Publish Date
08 Aug 2024

Abstract

The given work presents a Susceptible Corrupt Jailed Reformed (SCJR) model on corruption spread with a control strategy: encouragement of punishment (in the form of law enforcement). In this mathematical model, it is assumed that corruption spreads like an infectious disease because corrupt individuals can influence susceptible individuals if they interact frequently. This model also assumes that corruption can occur due to personal desires without influence from other individuals. The study shows that the corruption-free fixed point stability depends on the basic reproduction number. The corruption-free fixed point is asymptotically stable if R0<1. The numerical simulations of the corruption-free fixed point and the difference between the model with and without the control strategy are given to demonstrate the validity of the theoretical analysis using Maple software. software Maple

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Journal Info

Abbrev

home

Publisher

Subject

Decision Sciences, Operations Research & Management Education Mathematics

Description

Jurnal Lebesgue : Jurnal Ilmiah Pendidikan Matematika, Matematika dan Statistika Jurnal Lebesgue Adalah Jurnal Ilmiah yang terbit secara daring pada bulan April, Agustus dan Desember. untuk menyebarluaskan hasil-hasil penelitian dalam bidang matematika, statistika, aktuaria, matematika terapan, ...