Fear Effect On The Corruption Dynamics Of A Mathematical Differential Equation Secjh Model

Document Type

Article

Publication Date

5-1-2026

School

Mathematics and Natural Sciences

Abstract

In this work, we have introduced and examined a new mathematical model for understanding the transmission dynamics of corruption, incorporating a jailed-induced fear factor ω . The basic reproduction number R0 of the model was computed through the next generation matrix method. It has been proved that the corruption-free equilibrium is locally asymptotically stable if the basic reproduction number R0<1. When R0>1, the corruption-free equilibrium becomes linearly unstable and the corruption endemic equilibrium emerges and it is stable. Lyapunov functions are constructed to prove the global stability for some special cases. Numerical simulations were carried out which confirm the analytical results, providing quantitative insights. Two extreme scenarios underscored the efficacy of public awareness programs and law enforcement measures in curbing corruption. Specifically, the promotion of awareness regarding punitive measures to enhance the fear factor ω emerges as an effective strategy for reducing corruption to a bearable level, although complete elimination may not be possible.

Publication Title

Communications in Nonlinear Science and Numerical Simulation

Volume

156

Link to Full Text

Share

COinS