ArticleHeliyon2024
Statistical and computational analysis for corruption and poverty model using Caputo-type fractional differential equations.
Article in Heliyon, 2024. The graph could read no effect estimate from its abstract, so it casts no vote on the map. Cited by 4 papers.
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4 citing papers in PubMed.
- Generalized fractional modeling and optimal control of respiratory syncytial virus infections in Florida.Scientific reports · 2026Article
- Excess CMS morbidity and FEMA declarations: Phenome Wide Association Study of Generalized Linear Model interactions between CMS diagnostic code utilization and FEMA Incident types, 1999-2020.Informatics in medicine unlocked · 2025Article
- Impact of sample size on optimisation algorithms for the MLP used in the prediction of client subscription to a term deposit.F1000Research · 2025Article
- A conformable fractional finite difference method for modified mathematical modeling of SAR-CoV-2 (COVID-19) disease.PloS one · 2024Article
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Authors and funding
7 authors.
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Abstract
Since there is a clear correlation between poverty and corruption, mathematicians have been actively researching the concept of poverty and corruption in order to develop the optimal strategy of corruption control. This work aims to develop a mathematical model for the dynamics of poverty and corruption. First, we study and analyze the indicators of corruption and poverty rates by applying the linear model along with the Eviews program during the study period. Then, we present a prediction of poverty rates for 2023 and 2024 using the results of the standard problem-free model. Next, we formulate the model in the frame of Caputo fractional derivatives. Fundamental properties, including equilibrium points, basic reproduction number, and positive solutions of the considered model are obtained using nonlinear analysis. Sufficient conditions for the existence and uniqueness of solutions are studied via using fixed point theory. Numerical analysis is performed by using modified Euler method. Moreover, results about Ulam-Hyers stability are also presented. The aforementioned results are presented graphically. In addition, a comparison with real data and simulated results is also given. Finally, we conclude the work by providing a brief conclusion.
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