Evidence map›Paper›PMID 38589475›Full record

ArticleScientific reports2024

Fractional epidemic model of coronavirus disease with vaccination and crowding effects.

Suhail Saleem, Muhammad Rafiq, Nauman Ahmed, Muhammad Shoaib Arif, Ali Raza, Zafar Iqbal, Shafiullah Niazai, Ilyas Khan

Open access · goldAbstract read
PubMed Full text at PMC Publisher
In one paragraph

Article in Scientific reports, 2024. The graph could read no effect estimate from its abstract, so it casts no vote on the map. Cited by 1 paper.

0numbers the graph read from it
0cells of the map it votes in
1citing papers in PubMed
4.3field-weighted citation impact, top 5% of its field
1 · What the graph read from it

What it found

Each row is one number read from the abstract, on the scale the paper reported it, with its interval. Left of the dashed line favours the treatment, right favours the comparator. Under each row is the sentence it came from. New to these charts? A ten-minute tutorial.

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

The trial behind it

Trials whose registry record cites this paper, or whose number appears in the abstract. A trial that started after this paper was published is citing it as background, not reporting it.

Neither the registry nor the abstract names a trial number. If this is a trial report, that itself is worth knowing.

3 · Its place in the literature

Who cites it

1 citing paper in PubMed, 11 citations in OpenAlex.

  1. Article
4 · The record

Corrections and comments

PubMed lists nothing against this paper. Absence here is not a guarantee, only a check that was made.

5 · Who and what money

Authors and funding

8 authors at 6 institutions in 6 countries.

Suhail SaleemDepartment of Mathematics, Air University, PAF Complex E-9, Islamabad, 44000, Pakistan.
Muhammad RafiqDepartment of Mathematics, Faculty of Science and Technology, University of Central Punjab, Lahore, Pakistan.
Nauman AhmedDepartment of Mathematics and Statistics, The University of Lahore, Lahore, Pakistan.
Muhammad Shoaib ArifDepartment of Mathematics, Air University, PAF Complex E-9, Islamabad, 44000, Pakistan.
Ali RazaDepartment of Mathematics, University of Chanab, Gujrat, Pakistan.
Zafar IqbalDepartment of Mathematics and Statistics, The University of Lahore, Lahore, Pakistan.
Shafiullah NiazaiDepartment of Mathematics, Education Faculty, Laghman University, Mehtarlam City, 2701, Laghman, Afghanistan. shafiullahniazai@lu.edu.af.
Ilyas KhanDepartment of Mathematics, College of Science Al-Zulfi Majmaah University, 11952, Al-Majmaah, Saudi Arabia. i.said@mu.edu.sa.
Air University · PKUniversity of Lahore · PKKabul Education University · AFSaveetha University · INThe University of Chenab, GujratUniversity of Central Punjab · PK

Funding

No grant is acknowledged in the PubMed record.

6 · The paper itself

Abstract

Most of the countries in the world are affected by the coronavirus epidemic that put people in danger, with many infected cases and deaths. The crowding factor plays a significant role in the transmission of coronavirus disease. On the other hand, the vaccines of the covid-19 played a decisive role in the control of coronavirus infection. In this paper, a fractional order epidemic model (SIVR) of coronavirus disease is proposed by considering the effects of crowding and vaccination because the transmission of this infection is highly influenced by these two factors. The nonlinear incidence rate with the inclusion of these effects is a better approach to understand and analyse the dynamics of the model. The positivity and boundedness of the fractional order model is ensured by applying some standard results of Mittag Leffler function and Laplace transformation. The equilibrium points are described analytically. The existence and uniqueness of the non-integer order model is also confirmed by using results of the fixed-point theory. Stability analysis is carried out for the system at both the steady states by using Jacobian matrix theory, Routh-Hurwitz criterion and Volterra-type Lyapunov functions. Basic reproductive number is calculated by using next generation matrix. It is verified that disease-free equilibrium is locally asymptotically stable if

Indexed as

COVID-19EpidemicsBasic Reproduction NumberHumansUpper ExtremityVaccinationBasic reproductive numberExistence and uniquenessInfection dynamicsNon-linear differential equationNon-standard finite difference approachPrecautionary measuresSIVR modelStability

Identifiers

PMID38589475
PMCPMC11369089
OpenAlexW4394572167

What OpenQuestion holds

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LicenceCC BY
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Registered trials

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Read under generation 80e0d062 · epoch 390. Bibliography from PubMed, PubMed Central and OpenAlex; grants from NIH RePORTER; trial links from ClinicalTrials.gov; estimates, votes and beliefs from the OpenQuestion graph.