Evidence map›Paper›PMID 35885172›Full record

ArticleEntropy (Basel, Switzerland)2022

A Dynamically Consistent Nonstandard Difference Scheme for a Discrete-Time Immunogenic Tumors Model.

Muhammad Salman Khan, Maria Samreen, Muhammad Asif Khan, Manuel De la Sen

Abstract read
PubMed Full text at PMC Publisher
In one paragraph

Article in Entropy (Basel, Switzerland), 2022. 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
–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

1 citing paper in PubMed.

  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

4 authors.

Muhammad Salman KhanDepartment of Mathematics, Quaid-I-Azam University, Islamabad 44230, Pakistan.
Maria SamreenDepartment of Mathematics, Quaid-I-Azam University, Islamabad 44230, Pakistan.
Muhammad Asif KhanDepartment of Mathematics, Kahota-Haveli Campus, University of the Poonch Rawalakot, Rawalakot 12350, Pakistan.ORCID 0000-0001-6316-5230
Manuel De la SenDepartment of Electricity and Electronics, Institute of Research and Development of Processes, Faculty of Science and Technology, University of the Basque Country (UPV/EHU), Campus of Leioa, 48940 Leioa, Bizkaia, Spain.ORCID 0000-0001-9320-9433

Funding

No grant is acknowledged in the PubMed record.

6 · The paper itself

Abstract

This manuscript deals with the qualitative study of certain properties of an immunogenic tumors model. Mainly, we obtain a dynamically consistent discrete-time immunogenic tumors model using a nonstandard difference scheme. The existence of fixed points and their stability are discussed. It is shown that a continuous system experiences Hopf bifurcation at one and only one positive fixed point, whereas its discrete-time counterpart experiences Neimark-Sacker bifurcation at one and only one positive fixed point. It is shown that there is no chance of period-doubling bifurcation in our discrete-time system. Additionally, numerical simulations are carried out in support of our theoretical discussion.

Indexed as

Andronov–Hopf bifurcationboundednesscontrol of bifurcationexistenceimmunogenic tumors modellinearized stabilityNeimark–Sacker bifurcationnonstandard difference schemenumerical simulations

Identifiers

PMID35885172
PMCPMC9317731

What OpenQuestion holds

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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.