Evidence map›Paper›PMID 39396062›Full record

ArticleScientific reports2024

Time delayed fractional diabetes mellitus model and consistent numerical algorithm.

Mudassar Rafique, Muhammad Aziz Ur Rehamn, Muhammad Rafiq, Zafar Iqbal, Nauman Ahmed, Hadil Alhazmi, Shafiullah Niazai, Ilyas Khan

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Article in Scientific reports, 2024. 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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1 · What the graph read from it

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The abstract states no effect estimate the extractor could read, or names no intervention and outcome on the map, so this paper lights no cell and moves no belief. It is still indexed, cited and linked below.

2 · The registry

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3 · Its place in the literature

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4 · The record

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5 · Who and what money

Authors and funding

8 authors.

Mudassar RafiqueDepartment of Mathematics, University of Management and Technology, Lahore, Pakistan.
Muhammad Aziz Ur RehamnDepartment of Mathematics, University of Management and Technology, Lahore, Pakistan.
Muhammad RafiqDepartment of Mathematics, Faculty of Sciences, University of Central Punjab, Lahore, 54500, Pakistan.
Zafar IqbalDepartment of Mathematics and Statistics, The University of Lahore, Lahore, Pakistan.
Nauman AhmedDepartment of Mathematics and Statistics, The University of Lahore, Lahore, Pakistan. nauman.ahmd01@gmail.comm.
Hadil AlhazmiDepartment of Mathematical Sciences, College of Science, Princess Nourah Bint Abdulrahman University, P.O. Box 84428, Riyadh, 11671, Saudi Arabia.
Shafiullah NiazaiDepartment of Mathematics, Education Faculty, Laghman University, Mehtarlam, Laghman, 2701, Afghanistan. shafiullahniazai@lu.edu.af.
Ilyas KhanDepartment of Mathematics, College of Science Al-Zulfi, Majmaah University, Al-Majmaah, 11952, Saudi Arabia. i.said@mu.edu.sa.

Funding

No grant is acknowledged in the PubMed record.

6 · The paper itself

Abstract

The diabetes mellitus model (DMM) is explored in this study. Many health issues are caused by this disease. For this reason, the integer order DMM is converted into the time delayed fractional order model by fitting the fractional order Caputo differential operator and delay factor in the model. It is proved that the generalized model has the advantage of a unique solution for every time t. Moreover, every solution of the system is positive and bounded. Two equilibrium states of the fractional model are worked out i.e. disease free equilibrium state and the endemic equilibrium state. The risk factor indicator, R

Indexed as

AlgorithmsDiabetes MellitusComputer SimulationHumansModels, BiologicalModels, TheoreticalTime FactorsFractional time delayed differential equationGL non-standard finite difference schemesGlobal stability.LaSalle principalVolterra type Lyapunov function

Identifiers

PMID39396062
PMCPMC11470918

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