Deterministic Model of Corruption Dynamics in Nigeria VIA Homotopy Perturbation Method

Document Type : Research Paper

Authors

1 Department of Mathematics Nigerian Army University Biu, Nigeria

2 Department of Mathematics of Mathematics Federal University of Technology Minna, Nigeria

3 Department of Mathematics, Nigerian Army University Biu, Nigeria

Abstract

Corruption is a slowly decaying poison in Nigeria. Corruption is a global problem that individuals in a community can be exposed to. This paper developed the dynamics of corruption and the compartments were divided into six sections: Susceptible, Exposed, Corrupt, Honest, Punished and Recovered. The paper was designed to deal with the stability of corrupt individuals and, using the homotopy perturbation technique, the model equations are solved for simulations to performed numerically. The analysis findings demonstrate that the corruption-free equilibrium is locally asymptotically stable if R0<1, indicating that there is corruption in the population. disappears and if R0>1, means that the number of corruption rises per-capital in a society. Also from the results, the homotopy perturbation method shows accuracy and convergence very quickly for numerical simulations despite it require perturbation for convergent. The observations and suggestions are outlined to have a corruption-free society.

Keywords

Global Analysis and Discrete Mathematics
Volume 8, Issue 1
November 2023
Pages 43-64

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History

  • Receive Date: 29 December 2023
  • Revise Date: 18 February 2024
  • Accept Date: 24 February 2024

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