Numerical treatments for the optimal control of two types variable-order COVID-19 model.

Nasser Sweilam, Seham Al-Mekhlafi, Salma Shatta, Dumitru Baleanu

Abstract read

In one paragraph

Article in Results in physics, 2022. The graph could read no effect estimate from its abstract, so it casts no vote on the map. 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

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

4 authors.

Nasser SweilamDepartment of Mathematics, Faculty of Science, Cairo University, Giza, Egypt.

Seham Al-MekhlafiDepartment of Mathematics, Faculty of Education, Sana'a University, Yemen.

Salma ShattaDepartment of Mathematics, Faculty of Science, Helwan University, Cairo, Egypt.

Dumitru BaleanuCankaya University, Department of Mathematics, Turkey.

Funding

No grant is acknowledged in the PubMed record.

6 · The paper itself

Abstract

In this paper, a novel variable-order COVID-19 model with modified parameters is presented. The variable-order fractional derivatives are defined in the Caputo sense. Two types of variable order Caputo definitions are presented here. The basic reproduction number of the model is derived. Properties of the proposed model are studied analytically and numerically. The suggested optimal control model is studied using two numerical methods. These methods are non-standard generalized fourth-order Runge-Kutta method and the non-standard generalized fifth-order Runge-Kutta technique. Furthermore, the stability of the proposed methods are studied. To demonstrate the methodologies' simplicity and effectiveness, numerical test examples and comparisons with real data for Egypt and Italy are shown.

Indexed as

26A3349M2565L03Caputo’s derivativesCOVID-19 epidemic modelsNon-standard generalized Runge–Kutta methodsOptimal control theoryStability analysis

Identifiers

PMID36092971

DOI10.1016/j.rinp.2022.105964

PMCPMC9444160

What OpenQuestion holds

Textmetadata

Read underepoch 390

Registered trials

None linked

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.