Evidence map›Paper›PMID 38806539›Full record

ArticleScientific reports2024

A comprehensive analysis of COVID-19 nonlinear mathematical model by incorporating the environment and social distancing.

Muhammad Riaz, Kamal Shah, Thabet Abdeljawad, Inas Amacha, Asma Al-Jaser, Manar Alqudah

Abstract read
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 3 papers.

0numbers the graph read from it
0cells of the map it votes in
3citing 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

3 citing papers in PubMed.

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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

6 authors.

Muhammad RiazDepartment of Mathematics, University of Malakand, Dir(L), 18000, Khyber Pakhtunkhwa, Pakistan.
Kamal ShahDepartment of Mathematics, University of Malakand, Dir(L), 18000, Khyber Pakhtunkhwa, Pakistan.
Thabet AbdeljawadDepartment of Mathematics and Sciences, Prince Sultan University, P.O. Box 66833, 11586, Riyadh, Saudi Arabia. tabdeljawad@psu.edu.sa.
Inas AmachaDepartment of Medical Research, China Medical University, Taichung, 40402, Taiwan. amasha.inas@gmail.com.
Asma Al-JaserDepartment of Mathematical Science, College of Science, Princess Nourah bint Abdulrahman University, P.O. Box 84428, 11671, Riyadh, Saudi Arabia. ajaljaser@pnu.edu.sa.
Manar AlqudahDepartment of Mathematical Science, College of Science, Princess Nourah bint Abdulrahman University, P.O. Box 84428, 11671, Riyadh, Saudi Arabia.

Funding

No grant is acknowledged in the PubMed record.

6 · The paper itself

Abstract

This research conducts a detailed analysis of a nonlinear mathematical model representing COVID-19, incorporating both environmental factors and social distancing measures. It thoroughly analyzes the model's equilibrium points, computes the basic reproductive rate, and evaluates the stability of the model at disease-free and endemic equilibrium states, both locally and globally. Additionally, sensitivity analysis is carried out. The study develops a sophisticated stability theory, primarily focusing on the characteristics of the Volterra-Lyapunov (V-L) matrices method. To understand the dynamic behavior of COVID-19, numerical simulations are essential. For this purpose, the study employs a robust numerical technique known as the non-standard finite difference (NSFD) method, introduced by Mickens. Various results are visually presented through graphical representations across different parameter values to illustrate the impact of environmental factors and social distancing measures.

Indexed as

COVID-19Nonlinear DynamicsPhysical DistancingSARS-CoV-2EnvironmentHumansModels, TheoreticalInfectionMathematical modelingNSFD methodSensitivityStability analysis

Identifiers

PMID38806539
PMCPMC11133490

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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.