Evidence map›Paper›PMID 39524847›Full record

ArticleHeliyon2024

Analyzing steady-state equilibria and bifurcations in a time-delayed SIR epidemic model featuring Crowley-Martin incidence and Holling type II treatment rates.

A Venkatesh, M Prakash Raj, B Baranidharan, Mohammad Khalid Imam Rahmani, Khawaja Tauseef Tasneem, Mudassir Khan, Jayant Giri

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In one paragraph

Article in Heliyon, 2024. The graph could read no effect estimate from its abstract, so it casts no vote on the map. It has been retracted, and should not be counted. Not yet cited in PubMed.

0numbers the graph read from it
0cells of the map it votes in
0citing papers in PubMed
–field-weighted citation impact
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

0 citing papers in PubMed.

No citing paper in PubMed yet.

4 · The record

Corrections and comments

5 · Who and what money

Authors and funding

7 authors.

A VenkateshDepartment of Mathematics, A.V.V.M. Sri Pushpam College (Affilated to Bharathidasan University, Tiruchirappalli), Poondi, Thanjavur, 613503, Tamilnadu, India.
M Prakash RajDepartment of Mathematics, A.V.V.M. Sri Pushpam College (Affilated to Bharathidasan University, Tiruchirappalli), Poondi, Thanjavur, 613503, Tamilnadu, India.
B BaranidharanDepartment of Mathematics, National Institute of Technology Puducherry, Karaikal, 609609, Puducherry, India.
Mohammad Khalid Imam RahmaniCollege of Computing and Informatics, Saudi Electronic University, Riyadh, Saudi Arabia.
Khawaja Tauseef TasneemCollege of Computing and Informatics, Saudi Electronic University, Riyadh, Saudi Arabia.
Mudassir KhanDepartment of Computer Science, College of Science & Arts, Tanumah, King Khalid University, Abha, Saudi Arabia.
Jayant GiriDepartment of Mechanical Engineering, Yeshwantrao Chavan College of Engineering, Nagpur, India.

Funding

No grant is acknowledged in the PubMed record.

6 · The paper itself

Abstract

This article presents a time-delayed SIR epidemiological model that has been quantitatively examined. The model incorporates a logistic growth function for the susceptible population, a Crowley-Martin type incidence, and Holling type II treatment rates. We investigated two separate time delays. The first delay refers to the rate at which new infections occur, allowing us to evaluate the impact of the latent period. The second delay relates to the rate of treatment for those who have contracted the infection, which allows us to examine the consequences of postponed access to therapy. The investigation of the steady-state behavior of the model emphasizes two equilibria, namely, the infection-free equilibrium and the endemic equilibrium. The determination of critical values involves the use of the fundamental reproduction number, denoted

Indexed as

34D2034D2337B25BifurcationHolling type II treatment rateLogistic growthMathematical modelingReproduction numberSensitivity analysisStability analysisTime delay

Identifiers

PMID39524847
PMCPMC11550118

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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.