The local stability of a compartmental corruption epidemic model under the impact of personal willingness

Authors

  • Muhafzan Department of Mathematics and Data Science, Universitas Andalas, Padang, Indonesia
  • Arrival Rince Putri Department of Mathematics and Data Science, Universitas Andalas, Padang, Indonesia
  • Noverina Alfiany Department of Mathematics and Data Science, Universitas Andalas, Padang, Indonesia
  • Hafizhah Artrya Hanan Department of Mathematics and Data Science, Universitas Andalas, Padang, Indonesia

DOI:

https://doi.org/10.19139/soic-2310-5070-2610

Keywords:

Stability, epidemic model, basic reproduction number, fixed point

Abstract

The given work establishes a compartmental corruption epidemic model that consists of the susceptible compartment, exposed compartment, corrupt compartment, jailed compartment, reformed compartment, and honest compartment under the impact of personal willingness. In this model, it is assumed that corruption spreads like an infectious disease if there is an interaction between a susceptible individual and a corrupt individual, hence the epidemiology theory can be used to analyze the behavior of the model. The local stability analysis of the model is established. The study shows that the corruption-free fixed point and the corruption-endemic fixed point depend on the basic reproduction number. The numerical simulations that demonstrate the local stability of the corruption-free fixed point and the corruption-endemic fixed point under influence of the personal willingness are conducted.

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Published

2025-07-11

Issue

Vol. 14 No. 3 (2025)

Section

Research Articles

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How to Cite

The local stability of a compartmental corruption epidemic model under the impact of personal willingness. (2025). Statistics, Optimization & Information Computing, 14(3), 1296-1307. https://doi.org/10.19139/soic-2310-5070-2610