Fractional-order computational modeling of pediculosis disease dynamics with predictor-corrector approach.

Naveed Iqbal, D K Archana, D G Prakasha, Meraj Ali Khan, Abdul Haseeb, Ibrahim Al-Dayel

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Article in Scientific reports, 2025. The graph could read no effect estimate from its abstract, so it casts no vote on the map. Not yet cited in PubMed.

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6 authors.

Naveed IqbalDepartment of Mathematics, College of Science, University of Ha'il, 2440, Ha'il, Saudi Arabia.

D K ArchanaDepartment of Mathematics, Davangere University, Shivagangotri, Davangere, 577007, India.

D G PrakashaDepartment of Mathematics, Davangere University, Shivagangotri, Davangere, 577007, India.

Meraj Ali KhanDepartment of Mathematics and Statistics, College of Science, Imam Mohammad Ibn Saud Islamic University (IMSIU), P.O. Box-65892, 11566, Riyadh, Saudi Arabia. mskhan@imamu.edu.sa.

Abdul HaseebDepartment of Mathematics, College of Science, Jazan University, P.O. Box. 114, 45142, Jazan, Saudi Arabia.

Ibrahim Al-DayelDepartment of Mathematics and Statistics, College of Science, Imam Mohammad Ibn Saud Islamic University (IMSIU), P.O. Box-65892, 11566, Riyadh, Saudi Arabia.

Funding

Deanship of Scientific Research at Imam mohammad Ibn Saud Islamic University (IMSIU) IMSIU-DDRSP2502

6 · The paper itself

Abstract

In this study, we examine and analyze the solution for the pediculosis disease model utilizing the predictor-corrector approach in relation to the Caputo fractional derivative. The existence and uniqueness of the selected model have been examined. Furthermore, the existence of the equilibrium point and local asymptotic stability are inferred. For various orders of the given derivative, the numerical simulations are displayed. We use graphs to verify the obtained results. According to our main outcomes, finding lice infestations early is important for getting rid of them quickly and effectively and lowering the risk of getting them again. These findings were used to test how well treatments for head lice infestations work. In the context of human disease, the results of this research highlight the relevance of projected derivative and method in the analysis and behavior of diverse mathematical models that are defined by differential equations.

Indexed as

Computer SimulationLice InfestationsModels, BiologicalPediculusAnimalsHumansModels, TheoreticalCaputo fractional derivativePediculosis diseasePredictor–corrector methodStability analysis

Identifiers

PMID40185814

DOI10.1038/s41598-025-95634-2

PMCPMC11971421

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LicenceCC BY-NC-ND

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