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Dergiler / Results in Nonlinear Analysis / 2026 / 2022 - Cilt 5, Sayı 4

Dynamics and optimal control strategies of Corruption model

Saida Id Ouaziz(Faculty of Sciences and Techniques, University of SIDI MOHAMED IBN ABDELAH, Fez, Morocco)
Abdelouahed Alla Hamou(Sidi Mohamed bn Abdellah University Fez-Morocco)0000-0001-7480-0148
Mohammed El Khomssi(Faculty of Sciences and Techniques, University of SIDI MOHAMED IBN ABDELAH, Fez, Morocco)
Sayfa
423–451
Yayın Tarihi
2022-12-30
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⚡ TL;DR(1 Cümlede Hızlı Çıkarım)

We perform extensive numerical simulations to support the analytical results.

📌 3 Maddede Bu Makale

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Amaç & Hipotez:In this work, we propose a nonlinear Mathematics effect model of media on the phenomenon of corruption.
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Temel Bulgular & Veri:We argue that the corruption free equilibrium is stable when R_0 is less than one.
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Sonuç & Katkı:We perform extensive numerical simulations to support the analytical results.
🔬Tür:Modelleme & Sayısal Simülasyon
📍Kapsam:Genişletilmiş Akademik Örneklem
⚙️Değişkenler:Corruption · epidemic model · epidemiology

Abstract

In this work, we propose a nonlinear Mathematics effect model of media on the phenomenon of corruption. We suggest a model that is more general than the ones we are familiar with in this domain as we work in a structure of nine compartments. Moreover, we have proved the existence and the uniqueness of the solution through the fixed point theorem. The question of stability is well examined. We argue that the corruption free equilibrium is stable when R_0 is less than one. The endemic equilibrium, which indicates the presence of corruption in the community, exists only when R_0>1. Based on the principle of Pontryagin's maximum, an assessment of the requirements for optimal control of corruption spread. We perform extensive numerical simulations to support the analytical results.

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Bu Makaleye Atıf Yap

Ouaziz, S. I., Hamou, A. A., Khomssi, M. E. (2022). Dynamics and optimal control strategies of Corruption model. Results in Nonlinear Analysis, 2022 - Cilt 5, Sayı 4, 423–451. https://doi.org/10.53006/rna.1139997

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